Question 58 Answer and Explanation _ACT 2000 Form 57B Math Section

Question 58 Answer and Explanation _ACT 2000 Form 57B Math Section

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58. The radio station WEST is erecting a new transmitting tower that is 280 feet tall. A support wire will be attached to the ground at point A and to the tower 250 feet up at point B, as shown below. The wire must be at least as long as AB. Which of the following expresses the length of AB, in feet?

F. 250 cos 70°

G. 250 sin 70°

H. 250 tan 70°

J. $\frac{250}{cos\,{70}^{\circ}}$

K. $\frac{250}{sin\,{70}^{\circ}}$

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

Examine the definitions of trigonometric functions.