(a) We can use trigonometry to find the distance between the bottom edges of the planks. Let x be the distance we want to find. Then we have:
sin(36) = x / 1.2
x = sin(36) * 1.2
x ≈ 0.72 m
Therefore, the bottom edges of the planks are about 0.72 meters apart.
(b) We can use trigonometry again to find the angle that the longer plank makes with the floor. Let θ be the angle we want to find. Then we have:
sin(θ) = 1 / 1.2
θ = sin⁻¹(1/1.2)
θ ≈ 49.5°
Therefore, the longer plank makes an angle of about 49.5 degrees with the floor.
Two planks of length 1m and 1.2m against each other if the angle between the planks is 36 (a) how far apart are the bottom edge of the planks (b) what angle does the longer one make with the floor
1 answer
1 answer