Question

(50 POINTS PLEASE HELP) A plane is flying 3,400.0 m above the ground level. The angle of elevation from the control tower to the plane is 11.4°. What is the horizontal distance from the plane to the control tower? Round your answer to the nearest meter. (Number part only, do not write commas or units).

(it would be great if you could show your work too)

Answer 1

16862m

Explanation:

Distance from the ground = 3400

angle of elevation = 11.4°

horizontal distance = ?

Trigonometric Ratio

To solve this problem, we need to use trigonometric ratio SOHCAHTOA

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

`tan0=(opposite)/(adjacent)`

`tan11.4=(3400)/(x)`

`x=(3400)/(tan11.4)`

x = 16862.12