The angle of elevation from the top of a 95 foot tall building to a hot air balloon in the sky is 76°. if the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon.

The height of the air balloon can be calculate by using trigonometric Identities formula.

The height of the hot air balloon is 1514.82 feet.

Given:

Angle of elevation is .

Building height is .

The distance between building and hot air balloon is

Draw the figure according to given question.

Write the trigonometric identity tangent function to find the height.

Substitute the value.

The total height of the balloon from the ground is the height of the building.

Thus, the height of the hot air balloon is 1514.82 feet.

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