Question

Draw the triangle and label all parts. Triangle ABC is a right triangle. Angle A = 18 degrees Angle B = 90 degrees ; AC = 25cm Find AB. Do not label. Round your final answer to the nearest tenth.

Answer 1

see attached

AB ≈ 23.8 cm

Explanation:

You want the length of AB in right triangle ABC with right angle B, angle A = 18°, and side AC = 25 cm.

Cosine

The cosine function relates the triangle sides ...

Cos = Adjacent/Hypotenuse

This tells us ...

cos(18°) = AB/AC

AB = AC·cos(18°) = (25 cm)·cos(18°)

AB ≈ 23.8 cm

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