A ladder leans against a wall. The angle between the ladder and the ground is 60 degrees. What trigonometric function relates the ladder's length to the wall's height?

You are standing 20 feet away from a tree. You measure the angle to the top of the tree to be 45 degrees. How tall is the tree (approximately)?

A boat is sailing towards a lighthouse. The angle of elevation from the boat to the top of the lighthouse changes as the boat gets closer. Which trigonometric concept is most helpful for calculating the distance?

Which trigonometric ratio is defined as the ratio of the opposite side to the adjacent side in a right-angled triangle?

If you know the angle and the adjacent side of a right triangle, which trigonometric function would you use to find the opposite side?

A ramp needs to have a specific angle of elevation. Which trigonometric function is useful for determining the ramp's length given its height?

An airplane is flying at a certain altitude. The angle of depression to an airport is known. Which trigonometric function helps calculate the horizontal distance to the airport?

In right triangle ABC, where angle C is 90 degrees, if you know side AC and side BC, which trigonometric function should you use to find angle A?

What is the value of sin(30 degrees)?

A surveyor uses trigonometry to measure distances indirectly. This technique is known as: