Respuesta :

The value of h in the given diagram is 72 ft. The correct option is the third option 72

Calculating the height of a triangle

From the question, we are to calculate h. h is the height of the triangle

First, we will the determine half the length of the base of the triangle.

Half the length of the base of the triangle = 42 ft/2

Half the length of the base of the triangle = 21 ft

Thus,

By the Pythagorean theorem, we can write that

75² = 21² + h²

5625 = 441 + h²

h² = 5625 - 441

h² = 5184

h = √5184

h = 72 ft

Hence, the value of h in the given diagram is 72 ft. The correct option is the third option 72

Learn more on Calculating height of triangle here: https://brainly.com/question/10708265

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