How to use soh, cah, toa
- 1. How To Use SOH, CAH, TOA To Solve An Unknowns Of A 90° Triangle. Kayla Huffman 10-26-10 1st Trig Mr. Phares
- 2. Sin • If the roof is 18 feet long, at a 35° angle. What is the height of the roof? • sin(35)/1 = opp/hyp • sin(35)/1 = x/18 • 18sin(35) = x • 10.32 ft = x • The height of the roof is 10.32 feet. 35° x 18ft.
- 3. Cos • If a street light’s height is unknown, and the shadow is 56 feet long and it is at a 45° angle. How tall is the street light? • cos(45)/1 = adj/hyp • cos(45)/1 = x/56 • 56cos(45) = x • 39.60 ft. = x • The street light is 39.60 feet tall. 56 ft. 45° x
- 4. Tan • If a building is 30 meters tall, and it’s shadow the cast is at a 65° angle. How wide is it’s shadow? • Tan(65)/1 = opp/adj • Tan(65)/1 = 30/x • 30 = xtan(65) • 30/tan(65) = xtan(65)/tan(65) • 14m = x • The width of the shadow is 14 meters. x 30m 65°
- 5. Summary • You can use Soh, Cah, Toa to find multiple things of a right triangle. • They are used to find unknown angles and unknown sides of a right triangle. • Soh, Cah, Toa is perfect for finding the length of a shadow or the height of a building. With the angles, you can find the angle that the shadow is cast from.
- 6. Summary • You can use Soh, Cah, Toa to find multiple things of a right triangle. • They are used to find unknown angles and unknown sides of a right triangle. • Soh, Cah, Toa is perfect for finding the length of a shadow or the height of a building. With the angles, you can find the angle that the shadow is cast from.