114256
AssignmentMultiple Choice

Solving for Side Lengths of Right Triangles

Question 114256 • *CR CCSS Math 2 S2 [M2960OX]

A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladder reach? Round the answer to the nearest tenth of a foot.13.8 ft23.8 ft26.3 ft80.9 ft

Answer
A
13.8 ft
B
23.8 ft
C
26.3 ft
D
80.9 ft

Explanation

The 18° angle is between the ladder and the vertical wall, so the height is the side adjacent to the angle. Using cosine, height = 25 cos(18°) ≈ 23.8 feet. The ladder reaches 23.8 ft up the wall.

AI-written and checked against the verified answer.

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