Trig Ratios in Real Life

A ladder is leaning against a wall, forming a 60-degree angle with the ground. If the ladder is 10 meters long, how far is the base of the ladder from the wall? (Round your answer to the nearest tenth)

• 5.0 meters

• 8.7 meters

• 10 meters

• 12 meters

A person is standing 100 meters away from a tower and observes the top of the tower at a 45-degree angle of elevation. What is the height of the tower? (Round your answer to the nearest meter)

• 70 meters

• 100 meters

• 140 meters

• 200 meters

A ramp is placed from the ground to the top of a 1-meter high platform. If the angle of the ramp with the ground is 30 degrees, how long is the ramp? (Round your answer to the nearest tenth)

• 1.0 meter

• 1.7 meters

• 2 meters

• 3.2 meters

A tree casts a shadow of 15 meters when the angle of elevation of the sun is 30 degrees. What is the height of the tree? (Round your answer to the nearest meter)

• 8 meters

• 9 meters

• 10 meters

• 26 meters

A person is looking at the top of a building from a point on the ground 50 meters away from the building's base. If the angle of elevation to the top of the building is 60 degrees, how tall is the building? (Round your answer to the nearest meter)

• 43 meters

• 50 meters

• 87 meters

• 100 meters

A river is flowing straight from point A to point B. A person standing at point C, directly opposite to point A across the river, observes point B at an angle of 45 degrees to the line from C to A. If the distance from C to A is 100 meters, how wide is the river?

• 50 meters

• 70.7 meters

• 100 meters

• 141.4 meters

A kite is flying at the end of a 100-meter string. If the string makes an angle of 45 degrees with the ground, how high above the ground is the kite? (Assume the ground is level and there is no sag in the string.)

• 50 meters

• 70.7 meters

• 100 meters

• 141.4 meters

A person observes the top of a hill at a 30-degree angle of elevation. If the person is 200 meters away from the base of the hill, how high is the hill? (Round your answer to the nearest meter)

• 100 meters

• 115 meters

• 200 meters

• 346 meters

A slide at a park makes an angle of 30 degrees with the ground. If the top of the slide is 2 meters off the ground, how long is the slide? (Round your answer to the nearest tenth)

• 2.0 meters

• 2.3 meters

• 3.5 meters

• 4.0 meters

A pedestrian bridge crosses a river that is 80 meters wide. The bridge is built with a 5-degree angle of elevation from one bank to the opposite bank. How much higher is one bank than the other? (Round your answer to the nearest meter)

• 7 meters

• 14 meters

• 20 meters

• 70 meters