Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72∘
with the ground. How high up the wall does the ladder reach? Round your answer to the nearest tenth of a foot if necessary.

A right angle triangle is a triangle that has one of its sides as 90 degrees. The sides and the angle can be found using trigonometric ratios. Therefore,

The length of the ladder is the hypotenuse of the triangle formed.

The opposite side of the triangle is how high up the wall the ladder reached.

Therefore,

sin 72° = opposite / hypotenuse

sin 72° = x / 20

cross multiply

x = 20 × sin 72°

x = 19.0211303259

x = 19.0 ft

learn more on right triangle here: https://brainly.com/question/25829530

Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72∘ with the ground. How high up the wall does the ladder reach? Round your answer to the nearest tenth of a foot if necessary.

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Right angle triangle

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Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72∘
with the ground. How high up the wall does the ladder reach? Round your answer to the nearest tenth of a foot if necessary.