Question

A hotel builds an isosceles trapezoidal pool for children. it orders a tarp to cover the pool when not in use. what is the area of the tarp?
to find the height. first find that d is 60,45,or 120. this means the height of the trapezoid is approximately 2.5,4.3,or 3.5 feet. so the area of the tarp is approximately 47.3,30.0 or 38.5 square feet.

Answer 1

The area of the trapezoidal tarp in the hotel is 47.3 square inches

How to determine the area of the tarp?

The area of a trapezoid is calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

From the complete question, the parallel sides are:

10 ft and 12 ft

So, we have:

Area = 0.5 * (10 +  12) * h

Evaluate

Area = 11 * h

The height (h) is calculated using the following cosine function

cos(120 - 90) = h/5

This gives

cos(30) = h/5

Make h the subject

h = 5cos(30)

Evaluate

h = 4.3

So, we have:

Area = 11 * 4.3

Evaluate

Area = 47.3

Hence, the area of the trapezoid is 47.3 square inches

Read more about areas at:

https://brainly.com/question/24487155

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