Question

emma leans a 28-foot ladder against a wall. if the ladder reaches 24.5 feet up the wall, what angle does it form with the ground? round your answer to the nearest tenth of a degree.

Explanation:

Step1: Identify sides

Opposite side = 24.5 ft, hypotenuse = 28 ft

Step2: Use sine function

$\sin(\theta) = \frac{24.5}{28} = 0.875$

Step3: Calculate angle

$\theta = \arcsin(0.875) \approx 61.0^\circ$

Answer:

61.0