Question

Benjamin has a ladder that is 15ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder make with the ground? Show your work.​

Answer 1

∠ = 66.9°

Explanation:

Sin ∠ = opposite/hypotenuse

Sin ∠x = 13.8/15

In the graphing calculator use

`sin^(-1)(13.8/15) = 66.9`

Answer 2

The angle to the nearest tenth is 66.9 degrees.

In order to determine the angle, the SOCAHTOA notation would be used. The ladder would form a right-angled triangle. we have the value of the opposite and the hypotenuse. So, sine would be used to determine the value of the angle.

Sine = opposite / hypotenuse

`sine^(-1)` = 13.8 / 15

= 66.9 degrees

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