Physics Practice Problems Geometry & Trigonometry Practice Problems Solution: A woman wishing to know the height of a mountain m...

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Solution: A woman wishing to know the height of a mountain measures the angle of elevation of the mountaintop as 12.0°. After walking 1.00 km closer to the mountain on level ground she finds the angle to be 14.0°. (a) Draw a picture of the problem neglecting the height of the woman's eyes above the ground. Hint: Use two triangles. (b) Using the symbol y to represent the mountain height and the symbol x to represent the woman's original distance from the mountain label the picture. (c) Using the labeled picture write two trigonometric equations relating the two selected variables. (d) Find the height y.

Problem

A woman wishing to know the height of a mountain measures the angle of elevation of the mountaintop as 12.0°. After walking 1.00 km closer to the mountain on level ground she finds the angle to be 14.0°. (a) Draw a picture of the problem neglecting the height of the woman's eyes above the ground. Hint: Use two triangles. (b) Using the symbol y to represent the mountain height and the symbol x to represent the woman's original distance from the mountain label the picture. (c) Using the labeled picture write two trigonometric equations relating the two selected variables. (d) Find the height y.