Question

From her window 5m above the ground, Sherri spots a turtle on the ground at a 34 degree angle of depression. To the nearest tenth of a meter, how far is the turtle from the base of the Sherri's building?
A: 7.4m
B: 4.8m
C: 4.1m
D: 3.4m

Answer 1

Let y be the distance from the turtle to the base of the building.

tan (34) = 5/y
y = 5 ÷ cos(34) 
y = 7.4m

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Answer: The distance is 7.4 meters (Answer A)
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