A straight road makes an angle, A, of 10° with the horizontal.When the angle of elevation, B, of the sun is 56°, a vertical pole beside the road casts a shadow 8 feet long parallel to the road, see figure.Approximate the length of the pole.Round answer to two decimal places.
A)2.48 feet
B)10.29 feet
C)6.22 feet
D)11.86 feet
E)6.94 feet

Question

A straight road makes an angle, A, of 10° with the horizontal.When the angle of elevation, B, of the sun is 56°, a vertical pole beside the road casts a shadow 8 feet long parallel to the road, see figure.Approximate the length of the pole.Round answer to two decimal places. 
A)2.48 feet 
B)10.29 feet 
C)6.22 feet 
D)11.86 feet 
E)6.94 feet

Quizplus · Accepted Answer

Let x be the length of the pole. Then, we can use the tangent function to set up the following equation:
tan(56°) = x/8
Solving for x, we get:
x = 8 tan(56°) ≈ 10.29 feet (rounded to two decimal places)

A Straight Road Makes an Angle, A, of 10° with the Horizontal.When