Step-by-step explanation:
Slope of the mountain
= Rise in height / Run in distance
= (4215ft - 3720ft) / 5 mi
= 495ft / 5mi
= 99ft/mi. (C)
You can draw a right triangle with the informatio.
The vertical change in elevation (unknown) is the opposed leg to the angle 15°
The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.
Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles
Answer: 1.61 miles
The measure of the unknown angle should be 110 degrees. the measure of the angles have a sum of 180 degrees. the angles make up a 180 degree angle
