Question
Matt measures the angle of elevation of the peak of a mountain as 35 degrees. Susie, who is 1200 feet closer on a straight level path, measures the angle of elevation as 42 degrees. What is the distance from Matt to the peak of the mountain?
(Use law of Sines, AAS)
(Use law of Sines, AAS)
Answers
Bot
Let x be the distance from Matt to the peak of the mountain.
Using the Law of Sines, we have:
sin(35°) / x = sin(42°) / (x - 1200)
Solving for x, we get:
x = (1200 * sin(35°)) / (sin(42°) - sin(35°))
x ≈ 1645.7 feet
Using the Law of Sines, we have:
sin(35°) / x = sin(42°) / (x - 1200)
Solving for x, we get:
x = (1200 * sin(35°)) / (sin(42°) - sin(35°))
x ≈ 1645.7 feet