To find the height of a tower, a surveyor positions a transit that is 2 meters tall at a spot 35 meters from the base of the tower. She measures the angle of elevation to the top of the tower to be 37°. What is the height of the tower, to the nearest meter?

The answer to your question is 28.37 m

Step-by-step explanation:

Data

height of the transit = 2 m

distance to the tower = 35 m

angle = 37°

Process

To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.

                   tan Ф = Opposite side / Adjacent side

-Solve for Opposite side

                   Opposite side = Adjacent side x tan Ф

1) Substitute values

                   Opposite side = 35 x tan 37°

2) Simplification

                    Opposite side = 35 x 0.7536

                    Opposite side = 26.37 m

3) Calculate the height of the tower.

                    Height = 26.37 + 2

                                = 28.37 m

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?