A rotation is an isometric transformation that turns every point of a figure through a specified angle and direction about a fixed point.
To describe a rotation, you need three things:
Direction (clockwise CW or counterclockwise CCW)
Angle in degrees
Center point of rotation (turn about what point?)
The most common rotations are 180° or 90° turns, and occasionally, 270° turns, about the origin, and affect each point of a figure as follows:
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(sin(86.10) * 100 ) / (sin(3.90)) = 1466.85 ft.
(3.90 is the angle of the top to Jada. (180 - (86.1+90))
Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
Answer:
XIII
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