SOLUTION: From the balcony 21 m up in building A, a person looks up at the top of a taller building across the street. The angle of elevation to the top of the building is 46 degrees from th
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Question 1068701: From the balcony 21 m up in building A, a person looks up at the top of a taller building across the street. The angle of elevation to the top of the building is 46 degrees from the balcony. The angle of depression to the base of the building across the street is 51 degrees. What is the height of the taller building across the street? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39617) (Show Source):
There are two right triangles here. Lower right triangle and an upper right triangle. The 21 meter high balcony length is a leg for the lower right-triangle. You can find all angle measures in these two right-triangles.
... you should be able to find the leg length of the upper right-triangle.
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From the balcony 21 m up in building A, a person looks up at the top of a taller building across the street. The angle of elevation to the top of the building is 46 degrees from the balcony. The angle of depression to the base of the building across the street is 51 degrees. What is the height of the taller building across the street?
Use to find the horizontal distance (D) between the 2 buildings
Use the value of D to find the vertical distance (H) from the balcony to the top of the taller building. This would be: .
This vertical distance (H), added to 21 m will give you the height of the taller building.
It’s best to sketch a diagram. You’ll see it a lot better then.
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