Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
The area of the trapezoidal tarp in the hotel is 47.3 square inches.
What is a trapezoid?
- A trapezoid is a quadrilateral having one pair of parallel opposite sides.
- It can have right angles (a right trapezoid) and congruent sides (isosceles), but neither is needed.
How do determine the area of the trapezoid?
- The area of a trapezoid is calculated using:
- Area = 0.5 × (Sum of parallel sides) × Height
From the complete question, the parallel sides are 10ft and 12ft.
- So, Area = 0.5 × (10 + 12) × h
Evaluate,
- Area = 11 × h
The height (h) is computed using the cosine function shown below:
- cos(120 - 90) = h/5
This gives
- cos(30) = h/5
Make h the subject:
- h = 5cos(30)
Evaluate:
- h = 4.3
So, we get:
- Area = 11 × 4.3
Evaluate:
- Area = 47.3
Therefore, the area of the trapezoidal tarp in the hotel is 47.3 square inches.
Know more about trapezoids here:
https://brainly.com/question/1410008
#SPJ4
The complete question is given below:
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.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.