Assuming the house is parallel to the ground, your triangle is made up by the house, the ground, and the ladder. Using sin(x) = opposite/hypotenuse on the angle 70 degrees, you would have sin(70) = 20/x (because 20 is the side opposite of the angle connecting the ladder and the ground)
--> simplify sin(70) * x = 20 --> x = 20 / sin(70
--> substitute (and make sure your calculator in in degrees) x= 21. 284
Answer:
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If a² + b² = c², then the triangle is <u>right</u>.
So we have (8)² + (11)² <u>?</u> (13)²
(8)² is 64, (11)² is 121, and (13)² is 169.
So we have 64 + 121 <u>?</u> 169
64 + 121 is 185 and we can see that 185 > 169.
This triangle would not be a right triangle.
In fact, it would be an acute triangle.
So no, it's not a right triangle.
3-4: Definition of supplementary angles
5: Simplify