Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.
To determine the height, h that the ladder reaches, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 62 = h/12
h = 12Sin62
h = 12 × 0.8829
h = 10.6 feet
(17.5)(x)=125
Divide each side by 17.5 leaving the equation as x=7.14
13x-6+95=180
Combine like terms
13x=91
Divide by 13
X=7
Two base angles are supplementary/equal 180
Answer:
Area of Square= 12*12= 144
Area of Circle= πr2
Radius= 12/2= 6
Area of Circle= 3.14*6*6 =113.04
Area of shaded region= 144- 113.04 = 30.96 = 31.0 (1 dp)