Question

what is the horizontal distance from the plane to tree b?

round your answer to the nearest tenth and use commas as needed.

the approximate horizontal distance between the plane and tree b is ft.

what is the distance from tree a to tree b? ft

Explanation:

Set up the trigonometric ratio for Tree B

$$ \tan(43^\circ) = \frac{1500}{x} $$

$$ x = \frac{1500}{\tan(43^\circ)} $$

Calculate the horizontal distance to Tree B

$$ x \approx \frac{1500}{0.932515} \approx 1608.55 $$

$$ x \approx 1,608.6\text{ ft} $$

Calculate the distance from Tree A to Tree B

$$ y = x - 1500 $$

$$ y \approx 1608.55 - 1500 = 108.55 $$

$$ y \approx 108.6\text{ ft} $$

Answer:

Question 1

The approximate horizontal distance between the plane and Tree B is <blank>1,608.6</blank> ft.

Question 2

What is the distance from Tree A to Tree B? <blank>108.6</blank> ft