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In this lesson, we will learn how to solve real-world problems using trigonometric functions in right triangles.

Q1:

A footballer kicks a ball into a goal post. The angle of elevation between the trajectory of the ball and the pitch is 3 8 β . The ball hits the top of the goal post at a height of 2.44 m. Find the horizontal distance π between the footballer and the goal giving the answer to two decimal places.

Q2:

A truck travelled 1.5 km up a ramp which is inclined to the horizontal at an angle of 5 8 β . Find the height at which the truck stopped giving the answer in metres to one decimal place.

Q3:

A ladder is leaning against a wall where the upper end is 4 m from the ground. The angle of inclination of the ladder to the ground is 4 0 β . Find the horizontal distance between the base of the ladder and the wall giving the answer to two decimal places.

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