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What is the value of x in the triangle?

8.12 cm
7.73 cm
16.5 cm
23.78 cm

What is the value of x in the triangle? 8.12 cm 7.73 cm 16.5 cm 23.78 cm-example-1

1 Answer

4 votes

Answer:

23.78 cm

Explanation:

For the 18° angle, x is the adjacent leg, and 25 cm is the hypotenuse.

The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.

cos Θ = adj/hyp

cos 18° = x/25

x = 25 × cos 18°

x = 23.78

Answer: 23.78 cm

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