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Vanyuwa [196]
2 years ago
12

Find the value of X, rounded to the nearest tenth. A. 31.8 B. 31.4 C. 10.3 D. 10.7

Mathematics
2 answers:
Alenkinab [10]2 years ago
7 0

Answer:

B. 31.4

Step-by-step explanation:

To find x, the hypotenuse, we need to use sin because we have been given the <u>opposite</u> (the side opposite the angle 35°) and we need to work out the <u>hypotenuse</u> (the longest or <em>slanted</em> side):

SOH, CAH, TOA

sin(θ) = opposite ÷ hypotenuse

Sub in the values (we don't know the hypotenuse so i've called it x):

sin(35) = 18 ÷ x (multiply both sides by x)

x × sin(35) = 18 (divide both sides by sin(35))

x = 18 ÷ sin(35) = 31.38204...

x ≈ 31.4

Hope this helps!

ruslelena [56]2 years ago
4 0
B would be the correct answer
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