Question 43 Answer and Explanation _ACT OG5 Form 67A Math Section

Question 43 Answer and Explanation _ACT OG5 Form 67A Math Section

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43. The diagram of the roof for a new storage shed is shown below. Some lengths are given in meters, but the length of the vertical support, BD, has been left off. Which of the following expressions gives the length, in meters, of BD?

A. 12 sin 25°

B. 12 tan 25°

C. 12 cos 25°

D. $\frac{12}{cos\,{25}^{\circ}}$

E. $\frac{12}{sin\,{25}^{\circ}}$

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

BD=sin 25°×BA= sin 25°×2