Asked by e
Observers at P and Q are located on the side of a hill that is inclined 32° to the horizontal, as shown. The observer at P determines the angle of elevation to a hot-air balloon to be 56°. At the same instant the observer at Q measures the angle of elevation to the balloon to be 69°. If P is 60 m down the hill from Q, find the distance from Q to the balloon. (Round your answer to the nearest meter.)
Answers
Answered by
oobleck
If we call the balloon point B, then in triangle PQB,
angle Q is 180-(69-32) = 143°
angle P is 56-32 = 24°
So, angle B is 13°
Now use the law of sines to find QB
QB/sin24° = 60/sin13°
angle Q is 180-(69-32) = 143°
angle P is 56-32 = 24°
So, angle B is 13°
Now use the law of sines to find QB
QB/sin24° = 60/sin13°
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.