Question

11) To approach a runway, a pilot must begin a 10° descent

starting from a height of 0.38 miles above the ground. At

the start of his approach, how far, d, is the plane from the

runway to the nearest tenth of a mile?

Answer 1

the plane 2.2 miles away from the runway

Step-by-step explanation:

Given the data in the question and as illustrated in the image below;

from the image, using trigonometric ratio;

SOH CAH TOA

sin = opposite / hypotenuse

sin10° = 0.38 / x

xsin10° = 0.38

x = 0.38 / sin10°

x = 0.38 / 0.173648

x = 2.1883 miles ≈ 2.2 miles { the nearest tenth of a mile }

Therefore, the plane 2.2 miles away from the runway