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Use the diagram to find the value of x to the nearest tenth of a foot.
a. 74.6 ft.
b. 5.3 ft.
c. 15.5 ft.
d. 73.3 ft.

Use the diagram to find the value of x to the nearest tenth of a foot a 746 ft b 53 ft c 155 ft d 733 ft class=

Respuesta :

Answer:

a

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] ( multiply both sides by x )

x × tan15° = 20 ( divide both sides by tan15° )

x = [tex]\frac{20}{tan15}[/tex] ≈ 74.6 ft ( to the nearest tenth of a foot )

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