Question

Use the image to answer the question.

A right triangle with the right angle to the right and an angle labeled theta to the left opposite the right angle represents the ascent of a plane. A plane is shown above the triangle.

A plane is taking off at an angle θ=12°
from a horizontal runway. To the nearest foot, find the distance the plane has flown when its altitude is 300 feet from the ground.

(1 point)

Answer 1

Use sin θ = opposite/hypotenuse. Here opposite = 300 ft and θ = 12°.

distance = 300 / sin(12°) ≈ 300 / 0.2079117 ≈ 1442.97 ≈ 1443 feet.