You can use trigonometric ratios to find the value of y.
Thus, the value of y is given by:
[tex]y = \dfrac{8}{0.8805} = 9.086 \: \rm units[/tex]
Given that:
- Base of a right angled triangle is of 8 units.
- Angle between perpendicular and hypotenuse is of 61.7 degrees.
To find:
- Length of hypotenuse, denoted by y.
The given graph is labeled on vertices and attached below.
Viewing from angle A's viewpoint, the perpendicular is BC and of 8 units.
We need to find the hypotenuse.
Using sine ratio since that deals with perpendicular and hypotenuse:
[tex]sin(61.7^\circ) = \dfrac{BC}{AC}\\
0.8805 = \dfrac{8}{y}\\
y = \dfrac{8}{0.8805} = 9.086 \: \rm units[/tex]
Thus, the value of y is given by:
[tex]y = \dfrac{8}{0.8805} = 9.086 \: \rm units[/tex]
Learn more about trigonometric ratios here:
https://brainly.com/question/1201366
