Answer:
option c
Step-by-step explanation:
Let the sides of the right angled triangle = x , (x +1) , (x +2)
Perimeter = 12 feet
x + x +1 + x + 2 = 12
x +x + x + 1+2 = 12
Combine like terms
3x+ 3 = 12
Subtract 3 from both sides
3x = 12- 3
3x = 9
Divide both sides by 3
x = 9/3
x = 3
x + 1 = 3 + 1 = 4
x + 2 = 3 + 2 = 5
The sides of the triangle are 3 , 4 ,5
The biggest side will be the hypotenuse.
So, hypotenuse = 5 ft. other legs are 3 and 4
[tex]\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ[/tex]
another angle = 180 - [ 90 + 53.13]
= 180 - 143.13
= 36.87°
