Line segment CD has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment C′D′
2 answers:
You might be interested in
Answer:
84.5 m
Step-by-step explanation:
It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.
The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:
Tan = Opposite/Adjacent
Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:
tan(30°) = OB/OA
OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m
Likewise, we have ...
OC = (200 m)·tan(45°) = 200 m
Then the width of the river is the difference between these values:
BC = OC -OB = 200 m - 115.47 m = 84.53 m
Allen's claim that we do not have enough information to solve for angle 1 is incorrect
<h3>How to calculate the measure of angle 1</h3>Given that:
Angle 2 = 110 degrees
Angle 1 and angle 2, are the only angles on the straight line.
So, we have:
Substitute 110 for angle 2
Subtract 110 from both sides
The measure of angle 1 is 70 degrees.
So, we can conclude that Allen's claim is incorrect
Read more about angle theorems at: