A45 foot ladder is leaning against a building. if the bottom of the ladder is 27 feet from the base of the building, how tall is the building, h, to the nearest foot?

For this case, we have to form a rectangular triangle. Where the hypotenuse is 45 feet and the base of the triangle is 27 feet. We must find the height.

By the Pythagorean theorem, we have that the height is given by:

Where:

h: Height

H: Hypotenuse

b: Base

Summarizing the values:

Thus, the height is 36 feet.

36 feet.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

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step-by-step explanation:

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