A footballer kicks a ball into a goal post. The angle of elevation between the trajectory of the ball and the pitch is . The ball hits the top of the goal post at a height of 2.44 m. Find the horizontal distance between the footballer and the goal giving the answer to two decimal places.
A truck travelled 1.5 km up a ramp which is inclined to the horizontal at an angle of . Find the height at which the truck stopped giving the answer in metres to one decimal place.
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 . Find the horizontal distance between the base of the ladder and the wall giving the answer to two decimal places.