At a certain time of the day, a fir tree casts a shadow 79 ft long. From the tip of the shadow, an angle from the horizontal to the top of the tree is approximately 35°. What is the height of the fir tree to the nearest foot?
A)44 ft
B)55 ft
C)55.32 ft
D)None of the above

Question

Quizplus · Accepted Answer

The height of the fir tree to the nearest foot is 55 ft.
Solution
Use the equation tan ? = opposite/adjacent
Where ? = 35°
Adjacent = 79 ft
Opposite = tangent 35° x 79 ft
= (0.700) x 79 ft
= 55.32 ft -> rounded to 55 ft

At a Certain Time of the Day, a Fir Tree