Suav wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 19degrees ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest hundredth of an inch if necessary.

You push a skateboard so that it rolls down the road at a speed of 1.00 m/s. You run after the skateboard and jump off the ground with speed 3.80 m/s and an angle of 29.0° above the horizontal hoping to land on the skateboard. How much distance do you need between you and the skateboard to land on it?

According to building code, a wheelchair ramp can have a maximum angle of elevation of 60. If you must build a ramp reaching to a porch that is 1.7 m above ground, how long a ramp will you need?(Round your answer to one decimal place and put only the number in the blank with no units.)

For a physics experiment, a ramp is built from a board that is 7.25 m long. If the ramp will have a vertical height of 5.30 m, what will be the horizontal length of the ramp to the nearest hundredths of a meter? (2 decimal places)

Tamika leans a 30-foot ladder against a wall so that it forms an angle of 65degrees ∘ with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.

A 26-foot ladder leaning against the side of a house makes a 60∘60∘ angle with the ground. How far up the side of the house does the ladder reach?