Answer:
Explanation:
Remember the 3 main trigonometric ratios:
- sinθ= opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
We are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.
Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.
If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.
x is about 8.66 or 5√3, which is choice D.