How tall is the tower?
48°
16 ft
-30 ft
[?] ft
Round to the nearest tenth.
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Answer:
49.3 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{30}[/tex] ( multiply both sides by 30 )
30 × tan48° = x , then
x ≈ 33.3
Height of tower = 33.3 + 16 = 49.3 ft ( to the nearest tenth )