Answer:
Step-by-step explanation:
Given
Distance of Point S is 18 m from tower
Distance of point R is 24 m form tower
Suppose the height of tower PQ is h
angle of elevation of Q from S is
from the figure, we can write
Hi There! The answer is 10 and 1. Because you add 10 and 1 to get 11 and 10 times 1 equals 10. Hope this helps.
1. The yz-plane is the plane x = 0.
So, The general rule of reflection over the yz- plane is <span>(x,y,z) →(−x,y,z)
</span>
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2. <span>Show the results of your calculations for the reflection
</span>
Applying the rule found in (1)
<span>the new points of the shape after this reflection will be
</span>
P(–1, 2, 0) ⇒⇒⇒ <span>P'(1, 2, 0)
</span>Y(2, 3, 0) <span>⇒⇒⇒ Y'(-2, 3, 0)
</span>
R(–3, 4, 0) ⇒⇒⇒ <span>R'(3, 4, 0)
</span>
A(–2, 1, 5) ⇒⇒⇒ A'(2, 1, 5)
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3. <span>image is translated 2 units forward, 4 units right, and 3 units down
</span>
So, the transformation rule (x, y, z) → (x + 2, y + 4, z – 3)
Apply the transformation rule to the points from number 2
<span>P'(1, 2, 0) ⇒⇒⇒
P" (3 , 6 , -3 )
</span><span>Y'(-2, 3, 0) ⇒⇒⇒ Y" (0 , 7 , -3)
</span><span>R'(3, 4, 0) ⇒⇒⇒ R" ( 5 , 8 , -3)
</span>A'(2, 1, 5) ⇒⇒⇒ A" ( 4 , 5 , 2)
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4. Write the general rule you use for the translation.
The general rule for the translation from the basic shape to the final image.
(x , y , z ) → (-x + 2, y + 4, z – 3)
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5. the results of general the translation:
P(–1, 2, 0) ⇒⇒⇒ P'(1, 2, 0)
⇒⇒⇒
P" (3 , 6 , -3 )
Y(2, 3, 0) <span>⇒⇒⇒ Y'(-2, 3, 0) </span>⇒⇒⇒ Y" (0 , 7 , -3)
R(–3, 4, 0) ⇒⇒⇒ <span>R'(3, 4, 0) </span>⇒⇒⇒R" ( 5 , 8 , -3)
A(–2, 1, 5) ⇒⇒⇒ A'(2, 1, 5) ⇒⇒⇒ A" ( 4 , 5 , 2)