Robyn has a 2" wide board and a 1 1/2" wide board. She would like to cut the narrower board at an angle so the is 2" long and the boards will fit together. At what angle does she need to cut the board
She would like to cut the narrower board at an angle of 41.40 degrees so the is 2" long and the boards will fit together if Robyn has a 2" wide board and a 1 1/2" wide board.
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The missing figure is attached to the picture, please refer to the picture
We have:
Robyn has a 2" wide board and a 1 1/2" wide board.
1 1/2 = 3/2 = 1.5"
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying cos ratio:
cosθ = 1.5/2
cosθ = 0.75
θ = cos⁻¹(0.75)
θ = 41.40 degrees
Thus, She would like to cut the narrower board at an angle of 41.40 degrees so the is 2" long and the boards will fit together if Robyn has a 2" wide board and a 1 1/2" wide board.
Learn more about trigonometry here:
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