A 16 foot ladder leaning against a wall makes a 66-degree angle with the ground. How far up the wall does the laddar reach?

About 15 feet off the ground

The more accurate value is 14.6167273222817 but even this value is not fully exact.

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Work Shown:

Refer to the diagram below.

sin(angle) = opposite/hypotenuse

sin(66) = x/16

16*sin(66) = x

x = 16*sin(66)

x = 14.6167273222817

x = 15

The ladder reaches roughly 15 feet off the ground, when rounding to the nearest whole number.

I'm rounding to the nearest whole number since the other length (16 ft) is a whole number. Round however you need to if your teacher instructs otherwise.

answer: the common difference is -0.10

answer: about 22.67

step-by-step explanation: