Find the missing Angles
1 answer:
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Answer:
Step-by-step explanation:
Transformation from figure 1 to figure 2,
Translation of figure 1 by 6 units to the left.
Transformation of figure 1 to figure 3,
Reflection of figure 1 across y-axis.
Transformation from figure 1 to figure 4,
Translation of figure 1 by 6 units to the left and 4 units down.
Transformation from figure 1 to figure 5,
Translation of figure 1 by 3 units left and 6 units down.
Transformation from figure 1 to figure 6,
Reflection of figure 1 across x-axis.
Answer:
19
Step-by-step explanation:
45-45-90 triangles always have two legs that are the same length, and a hypotenuse that is the length of the leg times sqrt 2.
Given the position of x, we know it is a leg and must be equal to the other leg, which is 19.
SOH CAH TOA -> 
so.. which of those fellows do we use?
well, the triangle gives us
the angle, 15 degrees, for elevation angle
the adjacent side, 50m
and we want the opposite side, the slide
so...who has only, the angle, opposite, and adjacent sides?
well, low and behold, is Ms tangent
thus
notice, "x" in the picture, is the distance from the ground up to the top of the waterslide, using that triangle, what we're getting is just the distance, from the shorter slide, to the taller one, or x - 15
thus, the opposite side is x -15
so.. which of those fellows do we use?
well, the triangle gives us
the angle, 15 degrees, for elevation angle
the adjacent side, 50m
and we want the opposite side, the slide
so...who has only, the angle, opposite, and adjacent sides?
well, low and behold, is Ms tangent
thus
notice, "x" in the picture, is the distance from the ground up to the top of the waterslide, using that triangle, what we're getting is just the distance, from the shorter slide, to the taller one, or x - 15
thus, the opposite side is x -15