Answer:
101.97 feet above the ground
Step-by-step explanation:
To obtain the highest reach of the ladder, the ladder would have to be used to its maximum length (100 feet) and the greatest acute angle.
The ladder, the truck and the wall (this is assumed to be what the ladder leans on, in this case) form a right angled triangle, with the ladder as the hypotenuse, the truck as the adjacent and the wall as the opposite side. A description of this is shown in the attached image.
Using the formula, Sin (given angle) = [tex]\frac{Opposite}{Hypothenuse}[/tex], we have that
Opposite = Sin (given angle) × Hypotenuse
Opposite = Sin (70 degrees) × 100 feet
Opposite = 0.9397 × 100 feet = 93.97 feet
The total height of the ladder from the ground will be (93.97 + 8) feet = 101.97 feet
