Course challenge
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about the origin, (0,0).
y
7
B
6
5
А
4
3-
2
D
1
Sold
1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2
D'
-2
-3
Cour
A-41
05
B6-
Determine the angle of rotation.
Revie
5 of 30

Answer choices:
135
150
165
180

Solved

Show answers

Ответ:

alanaruth3389

09.07.2022

Mathematics

Step-by-step explanation:

Correct option is

cosA=47tanA=73

Given, sinA=43

⇒DCBC=43

⇒BC=3k and AC=4k

where k is the constant of proportionality.

By Pythagoras theorem, we have

AB2=AC2−BC2=(4k)2−(3k)2=7k2

⇒AB=7k

So, cosA=ACAB=4k7k=47

And tanA=ABBC=7k3k=

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Course challenge Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about the origin, (0,0). y 7 B 6 5 А 4 3- 2 D 1 Sold 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 D' -2 -3 Cour A-41 05 B6- Determine the angle of rotation. Revie 5 of 30 Answer choices: 135 150 165 180