Question

liam leans a 18 - foot ladder against a wall. if the ladder reaches 17 feet up the wall, what angle does it form with the ground? round your answer to the nearest tenth of a degree. answer attempt 1 out of 2

Explanation:

Step1: Identify the trigonometric relationship

We have a right - triangle situation where the ladder is the hypotenuse ($c = 18$ feet) and the height on the wall is the opposite side ($a = 17$ feet) to the angle $\theta$ between the ladder and the ground. We use the sine function $\sin\theta=\frac{a}{c}$.

Step2: Calculate the sine of the angle

$\sin\theta=\frac{17}{18}\approx0.9444$.

Step3: Find the angle

We know that $\theta=\sin^{- 1}(0.9444)$. Using a calculator, $\theta=\sin^{-1}(0.9444)\approx70.9^{\circ}$.

Answer:

$70.9^{\circ}$