Respuesta :
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.
What is trigonometry?
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:
brainly.com/question/26719838
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