Don't understand

Question

Katniss can see a hovercraft 127 feet in the air. She is 95 feet from the spot on the ground directly underneath the hovercraft. If Katniss’s eye-level is 5 feet, what is the angle of elevation to the hovercraft? Round to the nearest tenth?

Answer 1

you have a right triangle whose legs are 95 feet and 122 feet

the horizontal leg is 95 feet

the vertical leg is 127-5=122 feet because the angle of elevation is from eye-level

use the tangent function

tan=opp/adj

tan(x)=122/95

tan(x)=1.284210526

use the arctan on your calculator or a table of values or look on the web

arctan(x)=1.284210526

x=52.09251732º

x≈52 degrees 5 minutes 3 seconds

x=52.1º