A landscaper is making a retaining wall to shore up the side of a hill. To ensure against collapse, the wall should make an angl
e 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
1 answer:
Answer:
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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