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A point is 200 feet from a tower The angle of elevation to the top is 18 degrees and the angle of elevation to the bottom is 15 degrees I think the tower is on a hill how tall is the tower?
Wiki User
∙ 15y ago
Consider the following ._
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. , ______
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. ______________/
Dotted line is to the top of the tower, and has an 18 degree angle with the ground Comma line is to the bottom of the tower, and has a 15 degree angle with the ground Visualize the two triangle that exist here: ._
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. _________________| In both cases, the base of the triangle is 200 ft. The height of the dotted triangle is given as sin(18) * 200 = 61.80 The height of the comma triangle is given as sin(15) * 200 = 51.76 The top of the tower is represented by the dotted triangle, so it is 61.80ft above our observation point The bottom of the tower is represented by the comma triangle, so it is 51.76ft above our observation point. The height of the tower is the difference between these heights. 61.80 - 51.76 = 10.04ft The tower is a massive 10ft tall!
Wiki User
∙ 15y ago
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What is the height of a hill when the angle of elevation to the top of the hill from a point is 50 degrees and is 30 degrees from a point 40 feet farther away from the base of the hill?
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What is the height of a hill when the angle of elevation to the top of the hill from a point is 50 degrees and is 30 degrees from a point 40 feet farther away from the base of the hill?
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