Answer:
x = 45º
Step-by-step explanation:
well since a triangle has to equal 180º
then we just have to subtract 88º and 55º from 180º
180 - 80 - 55 = 45
therefore, x = 45
Answer:
m = 1 c = -8
Step-by-step explanation:
longer congruent sides = 6-0 OR 4-(-2) = 6units
perimeter= 3.6×2 + 6×2 = 19.2units
height of parallelogram= 2-(-1) = 3 units
area= 3×6 = 18unit^2
The ladder, leaning against the building, forms a right triangle with height "a" being the distance from the ground to the window, and hypotenuse "c" being the length of the ladder.
Because it's a right triangle, we can use trigonometric ratios to find the angles we're missing.
For part A), to solve for the angle between the base of the ladder and the ground, you'll want to use sine, because we know the lengths of the opposite side and the hypotenuse.
Sin(x) = a/c , solve for angle x in degrees or radians.
For part B), finding the angle between the top of the ladder and the building, remember that the sum of the angles in a triangle is 180 degrees, or pi radians, depending on which unit your teacher prefers.
Assuming degrees, we can say that angle y = 180-90-x. You are simply subtracting the two known angles to find the third.
For part C) use the Pythagorean theorem. You're looking for the length of the base, "b". Recall:
a^2 + b^2 = c^2
Plug in the known values, and solve for b.
The correct answer is letter C
