Approximate the length using the formula for arc length. Round to the nearest meter.
-A tree $490 \mathrm {~m}$ away subtends an angle of $2 ^ { \circ }$. Find the height of the tree.
A) $14 \mathrm {~m}$
B) $37 \mathrm {~m}$
C) $17 \mathrm {~m}$
D) $34 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The arc length formula is $ s = r \theta $, where $ r $ is the radius and $ \theta $ is the angle in radians. Convert $2^\circ$ to radians: $ \theta = \frac{2\pi}{180} $. Then, $ s = 490 \times \frac{2\pi}{180} \approx 17 $ meters.

Approximate the Length Using the Formula for Arc Length 490 m490 \mathrm {~m}490 m

Approximate the Length Using the Formula for Arc Length $490 \mathrm {~m}$