Question

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Determine the value of x.

Answer 1

B

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

• 3 x tan (63) = 5.88

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

• 6.6 - 2.2 = 4.4

x = 4.4