Complete question is;
Your keys drop from the top of the tower and fall straight to the ground. You want to know how far from the base of the tower the keys landed. Draw a right triangle that will help you solve the problem. Label each with the information you know. ( the tower is 65.6 feet tall and leans to the left at 7.1 degrees).
Answer:
8.11 ft
Explanation:
We are told that the tower is 65.6 ft tall and leans to the left at and angle of 7.1°.
We are also told that the keys drop from the top of the tower and straight to the ground. I have drawn the triangle that depicts this tower and ground and have attached it.
From the triangle we have:
AB is the vertical height which the keys fell,
BC is the distance from the keys to the base of the tower
AC is the height of the tower.
Now we have that AC = 65.6 ft
Using, trigonometric ratios, we can find BC.
Thus; BC/65.6 = sin 7.1
BC = 65.6 × sin 7.1
BC = 65.6 × 0.1236
BC ≈ 8.11 ft
Thus, distance of keys from base of tower = 8.11 ft