Answer:
x = 69°
Step-by-step explanation:
In the picture attached,
Length of the ladder = 15 ft
This ladder reaches the height of a building = 14 ft
We have to find the measure of angle formed between the base of the ladder and the ground.
By applying Sine rule in the right triangle formed,
sin(x)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(x)° = [tex]\frac{14}{15}[/tex]
x = [tex]\text{sin}^{-1}(\frac{14}{15})[/tex]
x = 68.96°
x ≈ 69°
