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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

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Answers (1)
  1. 5 May, 02:01
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    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
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