Question

From the base of the tower is 100 m and the angle of elevation of the top of the Tower is 35 degree what is the height of the tower in 3 significant figures

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Answer 1

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.