Problema Solution

A wooden beam 24 feet long leans against a wall and makes an angle of 71 degrees with the ground. How high up the wall does the beam reach?

Answer provided by our tutors

the beam, the wall and the ground make a right triangle with hypotenuse c = 24 ft and angle B = 71 degrees (make a drawing)


the height h = c*sin(angle B)


h = 24*sin(71)


h = 22.69 ft


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the beam reaches 22.69 ft up the wall.