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An extension ladder leans agintst a biulding, making a 75 degree angle of elevation with the ground. The base of the ladder is 8 ft from the base of the building.

To the nearest tenth of a foot, how long is the ladder?

Respuesta :

scarletblades101
For this problem, you're going to need to use trig. More specifically, you need to use the tangent function:

tan (value) = opposite/adjacent

tan 75 = opposite/8 (Here, the opposite side is the length of the ladder)

8 * tan 75 = opposite

29.8564065 = opposite

So, the ladder is 29.9 feet.

The ladder is 29.9 feet long.

For solving this problem we have to use trigonometric ratio  

We need to use the tangent function:

What is the ratio of tangent function?

[tex]tan (\theta) = opposite/adjacent[/tex]

[tex]tan 75 = opposite/8[/tex]

multiply both side by 8 so we will get,

Here, the opposite side is the length of the ladder and angle [tex]\theta =75^0[/tex]

Therefore by using the tan ratio we have,

[tex]8 * tan 75 = opposite[/tex]

[tex]29.8564065 = opposite[/tex]

Therefore, the ladder is 29.9 feet.

To learn more about the trigonometric ratio visit:

https://brainly.com/question/24349828