Dimensional Analysis
Convert 1.5 hours to milliseconds.
5,400,000 milliseconds
Use it when you know the length of the hypotenuse and the adjacent leg.
what is cosine ?
A ramp is inclined at 30° and is 5m long. How high is the ramp?
2.5 meters
A ramp is 2m high and 5m long. What is the angle of elevation?
23.58 deg
A ramp is used to load a truck. It’s 6m long and 2m high. What’s the angle of the ramp?
19.47
A runner completes a 400m lap in 50 seconds. What is their average speed in m/s?
8 m/s
another way of saying inverse sine
arcsine
A ladder leans against a wall at 60°. It’s 3m from the wall. How tall is the wall?
5.2 m
A tower casts a 15m shadow and is 10m tall. What is the angle of elevation of the sun?
33.69 deg
A light beam is fired from a 5m tall tower and hits a wall 12m away. What angle was it fired at?
22.62
A cyclist travels 12 km in 30 minutes. What is their average speed in m/s?
6.67 m/s
Use it when you know the two legs
What is Pythagorean Theorem ?
A drone flies at a 45° angle and covers 10m horizontally. How far did it ascend?
10 m
A drone descends 60m over a horizontal distance of 80m. What is the angle of descent?
36.87 deg
A rescue cable connects a helicopter 80m high to a point 100m away. What angle does it make with the ground?
38.66
A car engine produces 300 horsepower. Convert this to watts.
223,710 W
A ramp rises 2m over a 5m base. Which trig ratio helps find the angle of elevation?
inverse tan
A zipline is 25m long and descends at 20°. What is the vertical drop?
8.55 m
A cable stretches from a 100m tall tower to a point 120m away. What angle does it make with the ground?
39.81 deg
A zipline stretches from a 20m platform to the ground 50m away. What’s the angle of descent?
21.80
Convert 0.75 m³ to liters.
750 Liters
A zipline stretches from a 15m platform to the ground 40m away. Which trig ratio helps find the angle of descent?
what is inverse tangent
A race car is driving up a test ramp designed to simulate hill acceleration. The ramp is inclined at 28°, and the car travels 100 meters along the ramp before reaching the top.
calculate both the vertical height the car gained and the horizontal distance it covered along the ground.
46.95 m- vertical
88.29 m - horizontal
An engineer is designing a roller coaster track that climbs a hill. The track rises 60 meters vertically and covers 100 meters horizontally before reaching the peak. However, the actual steel track length is 120 meters, forming a triangle.
calculate the angle of elevation of the track. Then, determine whether the track follows a straight incline or curves slightly by comparing the angle formed by the actual track length to the ideal incline angle.
30.96 deg
A rescue drone is dispatched from a cliff 80 meters above sea level. It flies diagonally downward and lands on a beach 150 meters horizontally away. However, due to wind resistance, the drone’s actual flight path was 170 meters long.
28.07