If a flagpole casts a 13ft shadow on the ground when the sun is at 68° angle of elevation, which of the following expressions can be used to determine the height (h) of the flagpole? (Assume the flagpole is at a right angle to the ground.)

A) cot 68° = h/13

B) cos 68° = h/13

C) tan 68° = h/13

D) sin 68° = h/13

Question

Mathematics

Nikhil Khan

4 January, 09:16

If a flagpole casts a 13ft shadow on the ground when the sun is at 68° angle of elevation, which of the following expressions can be used to determine the height (h) of the flagpole? (Assume the flagpole is at a right angle to the ground.)

A) cot 68° = h/13

B) cos 68° = h/13

C) tan 68° = h/13

D) sin 68° = h/13

+1

Answers (1)

Know the Answer?

Tobias Hernandez · Answer 1

tan 68° = h/13 ⇒ answer (C)

Step-by-step explanation:

∵ The length of the shadow is 13 ft

∵ Angle of elevation of the sun is 68°

∴ The height of the flagpole is opposite to the ∠68°

and the shadow is adjacent to it

∵ The flagpole is ⊥ to the ground

∴ tan 68° = h/13