Question

A flagpole casts a 13-foot shadow on the ground when the sun is at a 68° angle of elevation. Which of the following expressions can be used to determine the height (h), in feet, of the flagpole? (Assume the flagpole is perpendicular to the ground.)
A
cos68°=h13

B
cot68°=h13

C
sin68°=h13

D
tan68°=h13

Answer 1

Step-by-step explanation:

answer is tan68 = h/13.. option d

which we can easily get by making the figure...

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Answer 2

option (d) is correct

The height of the flagpole is

tan 68°= $\frac{h}{13}$

Step-by-step explanation:

A flagpole casts a 13-foot shadow on the ground when the sun is at a 68° angle of elevation.

The length of the shadow = 13 ft

angle of elevation of the sun is 68°

then the pole is opposite to the angle 68°

assuming that the flagpole is perpendicular to the ground

then to find the height of the pole

using trigonometric functions

tan A = $\frac{perpendicular }{base}$

where A is the angle

tan 68°= $\frac{h}{13}$

therefore

option (d) is correct

the height of the flagpole is tan 68°=$\frac{h}{13}$

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