Answer:
x ≈ 777.9 m
Step-by-step explanation:
The angle at the vertex of the triangle is 90° - 40° = 50°
Using the cosine function in the right triangle
cos50° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{500}{x}[/tex] ( multiply both sides by x )
x × cos50° = 500 ( divide both sides by cos50° )
x = [tex]\frac{500}{cos50}[/tex] ≈ 777.9 m ( to the nearest tenth )
