Question

A soccer ball is placed 12 feet away from the goal, which is 8 feet high. You kick the ball and it hits the cross bar along the top of the goal. What is the angle of elevation of your kick? draw the picture below and solve. Rember to use inverse trig and look at formula sheet for help.

Answer 1

The angle of elevation at which he kicks the ball is; 36.89°

Finding the angle of elevation

We are told that the ball is 12 ft away and so we will consider it to be the horizontal distance.

The post is 8 ft high and so we will consider it to be the vertical distance.

Thus, we can use trigonometric ratio to find the angle of elevation. Thus;

tan θ = 8/12

θ = tan⁻¹0.75

θ = 36.89°

In conclusion the angle of elevation at which he kicks the ball is 36.89°

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