You need a sketch.
Let x=height from your elevation to top of the Monroe bldg and y your height.
Then x/tan 11 = y/tan 19.
This gives you an expression for y in terms of x.
Substitute in x + y =449 to get your answer.
SB K.
asked 04/07/20You find yourself on top of a building and you begin to wonder how high up you are. Noticing that you have a clear view of the top and bottom of the James Monroe building , and remembering that you have a clinometer in your pocket, you realize you can figure this out. You google the James Monroe building and learn that it is 449 feet tall. You then use your clinometer to determine that the angle of elevation of the top of the Monroe building is 11 degrees and that the angle of depression of the bottom of the Monroe building is 19 degrees. How high up are you?
You need a sketch.
Let x=height from your elevation to top of the Monroe bldg and y your height.
Then x/tan 11 = y/tan 19.
This gives you an expression for y in terms of x.
Substitute in x + y =449 to get your answer.
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