Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

from a fire tower 240 feet above ground level in the sasquatch national…

Question

from a fire tower 240 feet above ground level in the sasquatch national forest, a ranger spots a fire off in the distance. the angle of depression to the fire is \\(1.8^{\circ}\\). how far away from the base of the tower is the fire? assume the ground around the fire tower is completely flat. round to one decimal place.

Explanation:

Model the scenario with a right triangle

Using the Right Triangle Trigonometry and Trigonometric Applications knowledge points

$$ LATEXBLOCK0 $$

Set up the trigonometric equation

Using the Trigonometric Ratios and Right Triangle Trigonometry knowledge points

$$ LATEXBLOCK1 $$

Solve for the horizontal distance

Using the Trigonometric Applications knowledge point

$$ LATEXBLOCK2 $$

Round to one decimal place

Using the Trigonometric Applications knowledge point

$$ d \approx 7636.9\text{ feet} $$

Answer:

\(7636.9\) feet