The tower is 700 meters high. Suppose a building is erected such that the base of the building is on the same plane as the base of the tower, the angle of elevation from the top of the building to the top of the tower is 80.38° and the angle of depression from the top of the building to the foot of the tower is 65.05°. How high would the building have to be?
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
The tower is 700 meters high. Suppose a building is erected such that the base of the building is on the same plane as the base of the tower, the angle of elevation from the top of the building to the top of the tower is 80.38° and the angle of depression from the top of the building to the foot of the tower is 65.05°.
How high would the building have to be?
Given that height of tower = 700m.
The angle of elevation from the top of the building to the top of the tower =
The angle of depression from the top of the building to the foot of the tower =
Let the height of the building be h and the distance between tower and building is .
Now, (Alternate interior angle is equal)
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