Answer:
6.3 ft
Step-by-step explanation:
The ladder lying on the wall with an elevation of 39° forms a right angled triangle.
Hypotenuse = length of ladder = 10 ft
Opposite = x = ?
θ = 39°
Use trigonometric ratio formula to find, x, which is how far the ladder goes up the wall.
The trigonometric ratio formula to use is:
sin(θ) = opposite/hypotenuse
Sin(39) = x/10
Multiply both sides by 10
10*sin(39) = x
x = 10*sin(39)
x = 6.29 ≈ 6.3 ft (to nearest tenth)
