When the top (T) of a mountain is viewed from point A, 2000m from ground, the angle of depression (a) is equal to 15° and when it is viewed from point B on the ground, the angle of elevation (b) is equal to 10°. If points A and B are on the same vertical line, find the height (h) of the mountain. A a = 15° T 2000 m B b = 10°

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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When the top (T) of a mountain is viewed from point
A, 2000m from ground, the angle of depression (a) is
equal to 15° and when it is viewed from point B on
the ground, the angle of elevation (b) is equal to 10°.
If points A and B are on the same vertical line, find
the height (h) of the mountain.
A
a = 15°
T
2000 m
B
b = 10°
Transcribed Image Text:When the top (T) of a mountain is viewed from point A, 2000m from ground, the angle of depression (a) is equal to 15° and when it is viewed from point B on the ground, the angle of elevation (b) is equal to 10°. If points A and B are on the same vertical line, find the height (h) of the mountain. A a = 15° T 2000 m B b = 10°
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