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What is the value of x

What is the value of x-example-1
User Tom Teman
by
8.4k points

2 Answers

8 votes

Answer:

x = 24

Explanation:

SOH (Sin = Opposite/Hypotenuse)

CAH (Cos = Adjacent/Hypotenuse)

TOA (Tan = Oppositie/Adjacent)

The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.

Sin(30) = 12/x

Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5

0.5 = 12/x

Multiply each side by x

0.5x = 12

Divide off 0.5 from both sides

x = 24

User Tmdesigned
by
7.8k points
3 votes

Answer:

x = 24

Explanation:

Sinθ = opposite side / hypotenuse

Sin30° = AB/BC

½ = 12/x

x = 12 × 2

x = 24

User Aleksandr Ryabov
by
8.6k points

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