Question

question
andres leans a 22-foot ladder against a wall so that it forms an angle of 73° with the ground.
how high up the wall does the ladder reach? round your answer to the nearest tenth of a foot if
necessary.
(there is a right triangle image with hypotenuse labeled 22 and the side opposite the 73° angle labeled x)

Explanation:

Step1: Identify trigonometric ratio

The ladder is hypotenuse (22ft), height up wall is opposite side to 73°. Use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Calculate height

$x = 22 \times \sin(73^\circ)$. Compute $\sin(73^\circ)\approx0.9563$.

Step3: Compute and round

$x\approx22\times0.9563\approx21.0386\approx21.0$.

Answer:

21.0