Alandscaper is making a retaining wall to shore up the side of a hill. to ensure against collapse, the wall should make an angle 75° with the ground.
if the wall is 25 feet, what is the height of the hill?
question options:
25.9 ft
6.5 ft
24.1 ft
93.3 ft

C. 24.1 ft

Step-by-step explanation:

The side of the wall making the tilt of 75° will represent the hypotenuse

The height of the wall will be represented by the side opposite to the angle 75°

Apply the relationship for sine of angle Ф

Formula to use is ;

Sin Ф=  length of opposite side÷hypotenuse

SinФ=O/H

Sin 75°=O/25

0.96592582628=O/25

O=0.96592582628×25 =24.1 ft

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step-by-step explanation:

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step-by-step explanation:

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