1a. True
1b. False
1c. False
1d.true
1e.false
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Write it as a fraction then simplify. Use a calculator.
Answer: The top of the Crane is 31 feet above the ground.
Step-by-step explanation:
When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground. This means that a right angle triangle is formed. The length of the Crane's arm represents the hypotenuse. The horizontal distance represents the adjacent side of the right angle triangle. The distance, h of the top of the Crane from the ground represents the opposite side of the right angle triangle.
To determine h, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = h/62
h = 62Sin30
h = 62 × 0.5
h = 31 feet
Please note translations are just movements on a axis, they are not changing the length of a segment at all. In fact, only dilations change the figure. The length of E'F' is going to be the same as the length of EF.
So I have the formula for the reflection over the x-axis is from (x,y) to (x,-y), and the reflection for the y-axis is (-x,y). Next, I have the original for A(2,-2), B(2,-6), and (9,-6) which is reflection over x-axis which is A(2,2), B(2,6), and C(9,6). Then, I have A(-2,-2), B(-2,-6), and C(-9,-6) for the reflection over the y-axis. Hope it help!
