Question

Find the distance from A to C across the gorge illustrated in the figure.

Answer 1

`\huge\boxed{\sf Opposite = 125.86 \ ft}`

Explanation:

This question will be solved using trigonometric ratios.

Given that,

Angle = θ = 40°

Adjacent = 150 ft

To find:

Opposite = ?

Using trigonometric ratio, tan θ.

Solution:

`\displaystyle tan \theta = (opposite)/(adjacent) \\\\Put \ the \ given.\\\\tan \ 40 = (opposite)/(150) \\\\0.839 = (opposite)/(150) \\\\Multiply \ both \ sides\ by \ 150\\\\0.839 * 150 = opposite\\\\125.86 \ ft = Opposite\\\\Opposite = 125.86 \ ft\\\\\rule[225]{225}{2}`