Answer: The top of the ladder is 30 feet high off the ground.
Step-by-step explanation:
Since we have given that
Length of ladder AC = 32 feet
Angle of elevation of the ladder = 70°
We need to find the height of top of the ladder high off the ground i.e. AB.
Consider, Δ ABC,
[tex]\sin 70^\circ=\dfrac{AB}{AC}\\\\0.939=\dfrac{AB}{32}\\\\0.939\times 32=AB\\\\30.07=AB\\\\AB=30\ feet[/tex]
Hence, the top of the ladder is 30 feet high off the ground.
