Final answer:
To find the height of the tower, we can use trigonometry. The height of the tower is the opposite side of the triangle formed by the base of the tower, the top of the tower, and the line of sight from the observer at the base of the tower. Using the tangent function, we can calculate that the height of the tower is approximately 70.02 m.
Step-by-step explanation:
To find the height of the tower, we can use trigonometry. The height of the tower is the opposite side of the triangle formed by the base of the tower, the top of the tower, and the line of sight from the observer at the base of the tower. We can use the tangent function to find the height.
tan(angle) = opposite/adjacent
So, tan(35 degrees) = height/100 m
height = tan(35 degrees) * 100 m
Using a calculator, we can find that tan(35 degrees) is approximately 0.7002. Multiplying this by 100 m gives us a height of approximately 70.02 m.