Asked by premadonna
Bob is driving along a straight and level road straight toward a mountain. at some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 23 degrees 42 minutes. he then drives 1 mile more and measures the angle of elevation to be 30 degrees 38 minutes. find the height of the mountain to the nearest foot.
Answers
Answered by
drwls
Let the height of the mountain (in feet) be H.
Let the initial horizontal distance from the mountain peak be X.
H/X = tan 23.7 = 0.43897
H/(X-5280) = tan 30.633 =0.59218
Solve the two equations in two unknowns (X and H)
H - 0.43897X = 0
H - 0.59218X = -3126.7
Let the initial horizontal distance from the mountain peak be X.
H/X = tan 23.7 = 0.43897
H/(X-5280) = tan 30.633 =0.59218
Solve the two equations in two unknowns (X and H)
H - 0.43897X = 0
H - 0.59218X = -3126.7
Answered by
Elonzo
20420
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