A ladder is leaning against a building makes an angle of 50° with the ground. If the foot of the ladder is 8.7 feet away from the bottom of the wall, how high on the wall is the ladder

Question

Ernest Henson

Mathematics

4 February, 20:59

A ladder is leaning against a building makes an angle of 50° with the ground. If the foot of the ladder is 8.7 feet away from the bottom of the wall, how high on the wall is the ladder

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Answers (1)

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Malik Valdez · Answer 1

Answer: the height of the ladder on the wall is 10.4 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine how high on the wall is the ladder h, we would apply we would apply the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 50 = h/8.7

h = 8.7Tan50 = 8.7 * 1.1918

h = 10.4