A tracking station has two telescopes that are 1.7 miles apart. The telescopes can lock onto a rocket after it is launched and record the angles of elevation to the rocket. If the angles of elevation from telescope A and B are 22.5° and 44°, respectively, then how far is the rocket from telescope B? Round to one decimal place.
A) 1.8 miles
B) 3.2 miles
C) 1.6 miles
D) no solution

Question

Quizplus · Accepted Answer

The correct answer is A.Explanation:Let x be the distance from telescope B to the rocket. Then, tan(44°) = x / 1.7. Solving for x, we get x = 1.7 * tan(44°) ≈ 1.8 miles.

A Tracking Station Has Two Telescopes That Are 1