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suter [353]
1 year ago
7

A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 64°. How high does the ladder rea

ch on the building?
Mathematics
1 answer:
vodka [1.7K]1 year ago
7 0

The height of the ladder on the building is 19.77 feet

<h3>How high does the ladder reach on the building?</h3>

Represent the height of the ladder on the building with h

So, the given parameters are:

Angle, x = 64 degrees

Length of ladder, l = 22 feet

The height of the ladder on the building is calculated using

sin(x) = h/l

Substitute the known values in the above equation

sin(64) = h/22

Multiply both sides by 22

h = 22 * sin(64)

Evaluate the product

h = 19.77

Hence, the height of the ladder on the building is 19.77 feet

Read more about elevation angles at

brainly.com/question/19594654

#SPJ1

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