Simplify the answer
The value of x in the triangle using the principle of Pythagoras is 2879.4 meters
Given the right angle triangle :
The angle of elevation = 10°
Opposite side = 500 m
x = hypotenus
Recall :
SOHCAHTOA
Using the relation :
Sin θ = opposite / hypotenus
Sin 10° = 500 / x
Cross multiply :
x(sin 10°) = 500
0.1736481x = 500
x = 500 / 0.1736481
x = 2879.39 meters