Question

Question
Use the image to answer the question.

An illustration shows a triangle with the 90 degree angle symbol located in the lower left. The left-hand side of the triangle extends upward past the vertex. This long line is labeled movie screen and measures 30 feet. The shorter part of the screen that makes up the left-hand side of the triangle is labeled with a question mark. The base is labeled 6 feet and the hypotenuse joining the top of the left vertex and the right vertex of the base is labeled bracket and measures 15 feet.

An outdoor movie screen is 30 ft. tall. It needs additional support to keep it upright and prevent it from leaning. The town has decided to attach 15 ft. metal brackets to the back of the screen. The best spot to anchor the brackets to the ground is 6 ft. from the base of the screen. How far from the ground should the brackets be attached to the frame of the screen to ensure that the screen is at a right angle with the ground? Round to the nearest hundredth.

(1 point)
Responses

29.39 ft.
29.39 ft.

13.75 ft.
13.75 ft.

15 ft.
15 ft.

16.16 ft.
16.16 ft.
Remaining Attempts : 3
Skip to navigation

Answer 1

Use Pythagorean theorem: x^2 + 6^2 = 15^2, so x = sqrt(225 − 36) = sqrt(189) ≈ 13.7477. Rounded to the nearest hundredth: 13.75 ft.