Question

question
alexander leans a 20-foot ladder against a wall. if the ladder reaches 17.8 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
62.1° submit answer

Explanation:

Step1: Identify sides in right triangle

Opposite side = 17.8 ft, hypotenuse = 20 ft

Step2: Use sine function

$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{17.8}{20} = 0.89$

Step3: Calculate angle

$\theta = \arcsin(0.89) \approx 62.4^\circ$ (rounded to nearest tenth)

Answer:

62.4