Question 14
A tower 40 m tall has an elevation of 45 degrees from a point $B$ on the ground, and 53 degrees from a point $C$ on the ground. If point $A$ lies on the base of the tower 40 m tall, what is the distance between $B$ and $C$ on the ground if $\angle BAC=90^\circ$? (Given $\sin37^\circ=\frac34$.)
**Editorial clarification.** For this self-study item, use $\tan37^\circ\approx3/4$ (equivalently $\cot53^\circ\approx3/4$) instead of the source’s printed $\sin37^\circ=3/4$, and choose the distance under this approximation. Assume a vertical tower and level ground.
Choose one option.
**Editorial clarification.** For this self-study item, use $\tan37^\circ\approx3/4$ (equivalently $\cot53^\circ\approx3/4$) instead of the source’s printed $\sin37^\circ=3/4$, and choose the distance under this approximation. Assume a vertical tower and level ground.
Choose one option.