A fighter pilot needs to make an emergency landing. He needs a clear space that is at least 600 m long to land safely. He is flying at an altitude of 300 m. He sees a small empty field. The angles of depression from the jet to the two ends of the field are 30° and 56° [5]
a) How long is the field?
b) Can he land safely?

Answers

Answer 1

(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse y. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for y.

sin(56°) = (300 m)/y   →   y = (300 m)/sin(56°)

The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,

x/sin(26°) = y/sin(30°)   →   x = sin(26°)/sin(30°) y317.2627 m

(b) No, the field is not long enough.

A Fighter Pilot Needs To Make An Emergency Landing. He Needs A Clear Space That Is At Least 600 M Long

Related Questions

Students in a poetry class are writing poems for their portfolios. The teacher wants them to write stanzas with certain numbers of lines each. Lucy wrote 9 short stanzas and 9 long stanzas, for a total of 198 lines. Quincy wrote 9 short stanzas and 6 long stanzas, for a total of 156 lines. How many lines do the two sizes of stanzas contain?

Answers

Answer:

x = 8

y = 14

the short stanzas contain 8 lines

the long stanzas contain 14 lines

Step-by-step explanation:

lets call the short stanzas x

and the long stanzas y

using given information, you can make this equation

9x + 9y = 198

you can also make this equation

9x + 6y = 156

simplify the first equation

9x + 9y = 198

9x = 198 - 9y

x = 198/9 - y

x = 22 - y

substitute x for 22 - y in the second equation to find y

9(22 - y) + 6y = 156

198 - 9y + 6y = 156

-9y + 6y = -42

-3y = -42

y = 14

substitute y for 14 in the first equation to find x

9x + 9y = 198

9x + 9*14 = 198

9x + 126 = 198

9x = 198-126

9x = 72

x = 72/9

x = 8

What value(s) of x make the equation x2 - 18x + 81 = 0 true?

9

-9, 9

0, 9

0, -9, 9

Answers

Answer:

the answer is 9

Step-by-step explanation:

just took a test about it

Answer:

A. 9

Step-by-step explanation:

100% correct on edge

please mark brainliest:)

Your uncle gives you $10 and you save $2 a week. The expression 10 + 2w gives the amount you save after w weeks. How many terms are in the expression What is the coefficient in the expression

Answers

Answer:

2 terms

Step-by-step explanation:

Step one:

given data

we are told that your uncle gives you $10 and you save $2 a week

the expression for the situation is

let the total be y

[tex]y=10 + 2w[/tex]

From the expression, there are two terms

the first term is the constant term which is 10

while the second term is 2w, the coefficient is 2

help pleaseee I really need this done​

Answers

Angle 1 is 115 and angle 2 is 65.

Can someone please help me with this

Answers

Answer:

90

Step-by-step explanation:

times 15 and 6 maybe

SOMEONE DO NUMBER 1 FOR ME IM RUSHING. GIVING BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

                            Mixed number          Improper fraction

a) 1 + 1 + 1/3 =            [tex]2\frac{1}{3}[/tex]                                7/3

b) 1 + 1 + 1 + 5/8 =     [tex]3\frac{5}{8}[/tex]                                 29/8

c) 1 + 1 + 1 +2/4 =      [tex]3\frac{2}{4}[/tex]                                  14/4

Solve the following equation for g.
Rg=m+h^2g

Answers

Answer:

G=m/r-h^2

Step-by-step explanation:

move all the terms to the left side and set equal to zero. Then set each factor equal to zero. Hope this helps!

Which graph represents a function

Answers

Answer:

The top left.

Step-by-step explanation:

You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.

what is the answer to this?

Answers

Answer:

Well in a standard equation you have y=mx + b Mx is the slope and b is the y-intercept So take a shot and solve it now!

What statement is true about a function

Answers

Answer:

d is the answer ok :)

Step-by-step explanation:

y=4x + 1 what is the value of x=5 ?

Answers

Answer:

21

Step-by-step explanation:

Y=4x+1

y=4(5)+1

substitute and solve

Answer

21

Step-by-step explanation:

Ms. Franco bought her daughter a new scooter. The scooter cost $40.00. Sales tax was
7.5%. What was the total price Ms. Franco paid for the scooter? ASAP please

Answers

$43.00 is the after tax price

Answer: $43.00

Step-by-step explanation:

40.00 + 40.00 ÷ 100 × 7.5 = 43.00

What is the solution for −40 = 10c?
A. c = 1
B. C = -1
C. c = -4
D. c = 4

Answers

Answer:

C. c = -4

Step-by-step explanation:

you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal

-40/10 = c

c = -4

Translate the sentence Into an equation.

Twice the difference of a number and 9 equals 7.

Use the variable b for the unknown number.

Answers

Answer: b - 9 = 7.

Step-by-step explanation:

*
Select the expression that is equivalent to 5/8.
O
5=8
O 8-5
O 8-5
0 5-8

Answers

five over eight would be right
i dont see that here

Answer:

The right answer isnt there

Step-by-step explanation:

The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA

Answers

4.19 inches

use the formula: central angle/360°=arc length/8 pi

60/360 = 0.1667
0.1667 = length of minor arc /8 pi
multiply 8pi x 0.1667 to find length of arc
the minor arc is about 4.19inches

Evaluate the following expressions if x=3.

Please help me with this brainly

Answers

Answer:

A. 2^x = 2^3 = 2*2*2 = 8

B. x^2 = 3^2 = 3*3 = 9

C. 1^x = 1^3 = 1*1*1 = 1

D. x^1 = 3^1 = 3

E. [tex](\frac{1}{2})^x = (\frac{1}{2})^3 = (\frac{1}{2})(\frac{1}{2})(\frac{1}{2})=\frac{1}{8}[/tex]

Pls answer this question with explanation

Answers

Answer:

345°

Step-by-step explanation:

If a circle is 360° you would then have to take 15° away from 360° and get the answer of 345°

whats the area of 1.6m, 1.2m and 1.4m?

Answers

Answer:

=  2.1 meters

Step-by-step explanation:

MATHH WHIZZES PLZZZ HELPPPPP!!!!!

Answers

Answer:

$7.40

Step-by-step explanation:

785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40

Answer:

$7.40

Step-by-step explanation:

If y = x + 5 and y = 11, then x = what?

Answers

Answer:

6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

y(11)= x + 5

-5          -5

6= x  or x = 6

Hope this helps!!

4e^2x=5

X approximately = ?

Answers

Answer:

5 = 5

Explanation:

Write and solve an equation to find the missing value

Answers

180-120=60
So angle b equals 60°

Find the volume of the figure in cubic centimeters.

Answers

Answer:

755.16 cm³

Step-by-step explanation:

We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.

The volume of the bottom part is 12*4*14 = 672 cm³

For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³

Add these 2 up to get 755.16 cm³ as our answer

help please i’ll give brainliest.

ΔABC is similar to ΔFED. Answer the questions to find the length of DF .


1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.


2. Which side in ΔFED does CB in ΔABC correspond to?

Answers

Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

Plz help me on this :))

Answers

X is 4 if I am correct
The function is
Y=2|x-2|+4

what is the geometric mean of 4 and 49

Answers

the geometric mean is the square root of the product so it’s the square root of 196 which is 14

14

Step-by-step explanation:

4 × 49 =196

The square root of 196 is 14

hope it helps!

Please help with these problems..
at least one.

Answers

Answer:

4(5q-8), q=6

4(5(6)-8)=

4(30-8)=

4(22)=

88

r+(-8)/2. r=12

12+(-8)/2=

4/2=

=2

(11b+4)/9. b=7

(11(7)+4)/9=

(77+4)/9=

(81)/9=

9

Step-by-step explanation:

14 dollars for 4 books​

Answers

3.5 dollars for 1 book

Answer:

ur question

Step-by-step explanation:

dunno

The equation 4(-2u+7) is solved in several steps below. For each step, choose the reason that best justifies it. Answer choices are: addition property of equality, subtraction property of equality, multiplication prop., division prop., simplifying, and distributive property

Answers

Answer:

Find the solution below

Step-by-step explanation:

The expression is incomplete. Let say the expression is 4 (-2u + 7) = 44

Given the expression

4 (-2u + 7) = 44

Step 1: Open the bracket by distributing 4 over -2u and 7

4 (-2u + 7)= 44

4(-2u) + 4(7) = 44 (distributive property)

-8u + 28 = 44

Step 2: Subtract 28 from both sides

-8u + 28 - 28 = 44 - 28  (subtraction property of equality)

-8u  = 16

Step 3: Divide both sides by -8

-8u/-8 = 16/-8 (division property)

u = -2

Answer: A

The addition property of equality and then the division property of equality

Step-by-step explanation:

just did the quiz

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