A tower is known to be 60 meters high. A man using a theodolite stands some distance away from the tower and measures its angle of elevation as 38°. How far away from the tower is he if the theodolite stands 1.5 meters above the ground​

Answer:

cos theta = 4/5

Step-by-step explanation:

Since this is a right triangle

Cos theta = opp side/ hypotenuse

Cos theta = 8/10

cos theta = 4/5

Answer:

[tex]{ \tt{(2 \sin x. \cos x) - \cos x = 0}} \\ \\{ \tt{ \cos x(2 \sin x - 1) = 0 }} \\ either : { \tt{ \cos x = 0 \: \: or \: \: (2 \sin x - 1) = 0}} \\ \\ { \boxed{ \bf{x = 30 \degree, \: 90 \degree, \: 150 \degree,\:270\degree}}}[/tex]

Answer:

The amount of money one may spend in a month may be greater than that of ones monthly payment especially when the payment is at a lower rate.

Answer:

what level math is this

Step-by-step explanation:

Answer:

838

Step-by-step explanation:

556--282 negative minus a negative is a positive

Answer:

838

Step-by-step explanation:

556 - ( - 282 )

= 556 + 282

= 838

Answer:

a

Step-by-step explanation:

I believe it is answer a. the helicopter is the distance in the air that it is cruising and the angle is how it has to begin its decent down to the fireman

Answer:

slope = 6

y-intercept is (0,-1)

Step-by-step explanation:

the equation y = 6x-1 is written in slope-intercept form so it's easy to find the slope and the y-intercept

Answer:

40 square units

Step-by-step explanation:

First of all, lets say that square has side [tex]l[/tex], so, the area unit is [tex]l^2[/tex]

the diagonal's square is [tex]l\sqrt{2}[/tex]

CALCULATION OF TRIANGLES'S AREA (there are 4 triangles)

[tex]A_{triangles}=4*base*heigh*0.5=2*(l\sqrt{2} )(2l\sqrt{2} )=8l^2[/tex]

CALCULATION OF MAIN SQUARE AREA

[tex]A_{square}=side*side=(4\sqrt{2} l)(4\sqrt{2} l)=32l^2[/tex]

TOTAL AREA

[tex]A_{total}=A_{triangles}+A_{square}=8l^2+32l^2=40l^2[/tex]

Answer:

Family size

Step-by-step explanation:

40 oz of the regualr size would cost $8.40, therefor making the family size a better deal.

Hope this helps, correct me if i am wrong :)

Answer:

Letter A

Step-by-step explanation:

Hope this helps

Answer:

its A

Step-by-step explanation:

Answer:

ans: additive inverse is -5

multiplicative inverse is 1/5

Step-by-step explanation:

adding what value to 5 makes it 0 i.e

5 + (- 5)= 0 ( so additive inverse is -5)

multiplying what value to 5 makes it 1 i.e

5×( 1/5)=1 ( so multiplicative inverse is 1/5)

Answer:

is equidistant from a focus point and a line

Answer:

what

Step-by-step explanation:

pa brainliest tol please

9514 1404 393

Answer:

  349

Step-by-step explanation:

In Roman numerals, C=100, L=50, X=10, V=5, I=1. Values are additive except when a lower value precedes a higher value. In that case, the lower value is subtracted.

The value here is 10 -1 +50 -10 +100 +100 +100 = 349.

__

Additional comment

Letters are assigned to 1 and 5 and those values multiplied by 10 or 100. When you get to 4000 and above, special forms apply. By convention, only unit values within a factor of 10 are subtracted. In the above number, 49 is written XLIX, not IL.

Answer:

585.57

Step-by-step explanation:

Maya got 286.00

if lian got 192.84 less than we do 286-192.84 which is 93.16

if lian got 93.16, we add 113.25 to 93.16 to get rei's amount.

113.25 + 93.16 = 206.41

Now we add all their amounts, 286+93.16+206.41

585.57

Answer:

B)785.0 cubic inches

Step-by-step explanation:

amount of soup the pot can hold is equal to its volume

Volume of a cylinder is πr²h

π(5inches)²x 10inches

785.39816339744830

~785.0 cubic inches

Answer:

B. 30 units³

Step-by-step explanation:

the volume= 5×2×3 = 30

Answer:

Larger number: 22

The smaller number: 14

HOPE THIS HELPS

9514 1404 393

Answer:

  P: $0.12/kWh; M: $0.15/kWh

  $285 from company P

Step-by-step explanation:

The cost per kWh from Company P is found by dividing the cost by the corresponding number of kWh:

  $150/(1250 kWh) = $0.12/kWh

The cost per kWh from Company M is the coefficient of x in the equation:

  $0.15/kWh

__

Company P provides power for a lower cost. The cost from Company P for 2375 kWh is ...

  (2375 kWh)×($0.12/kWh) = $285 . . . cost for 2375 kWh

Answer:

22/ b hope this helps

Step-by-step explanation:

Answer:

1628.89

2593.74

2653.30

Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.

Step-by-step explanation:

A: 1000*(1.05)¹⁰= 1628.89

B: 1000(1.1)¹⁰= 2593.74

C: 1000(1.05)²⁰= 2653.30

D: Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.

Try this solution, note the answer is marked with green colour.

Answer:

72

Step-by-step explanation:

Angles of triangles add up to 180

x=180-57-51

x=72

Answer:

A Rational numbers

B Integers

Answer:

-3/7

Step-by-step explanation:

To find the slope use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1-4)/(4 - -3)

   = (1-4)/(4+3)

   = -3/7

Answer:

slope = - 3/7

step-by-step explanation:

we have two points which are (-3,4) and (4,1).

To find the slope of line , use the slope formula which is

m = ( y² - y¹ ) / ( x² - x¹)

Where,

substitute the values

m = ( 1 - 4 ) / ( 4 - ( - 3 ))

m = -3 / 7

Hence, slope is -3/7.

Answer:

x ≈ 24.4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 38°

Adjacent Leg = x

Hypotenuse = 31 cm

Step 2: Solve for x