Answer:
B
Step-by-step explanation:
First you have to look at the small triangle and figure out the angle R using the small triangle.
You'd make the triangle into a right angle triangle then using the number you have you'd figure out the angle of R
- cos-1 (1/2.2) = 62.9 degrees
Round 62.9 to 63 degrees
Angle R and angle S are the same so now you'd move on to the big triangle and make that into a right angle triangle.
The base becomes 3 with an agle of 63 degrees at S.
Now you find the height
base x tan (angle) = height
Round 5.88 to 5.9
And after that continue to find the hypotenuse of the right angle triangle
a² + b² = c²
- 3² + 5.9² = c²
- 9 + 34.81 = c²
- 43.81 = c²
- √43.81 =c
- c = 6.6
Since QS and QR are the same lengths, to find x, you'd have to minus the 2.2 from 6.6 to get your answer for x
x = 4.4
