Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Question

zyberg · Answer

You can use Pythagorean theorem here ;)

zyberg · Answer

Or, if you liked more, you would be able to solve the problem with trigonometric function (although the simplest way would be to solve the problem with the use of Pythagorean theorem).

zyberg · Answer

$$c^2 = a^2 + b^2$$, if it's for Pythagorean.

zyberg · Answer

c, in this case is of the length of 10.

zyberg · Answer

If you want to solve with trigonometric function sin: $$\frac{ opposite }{ hypotenuse } = \sin(60); opposite = hypotenuse * \sin(60)$$

zyberg · Answer

opposite in this case is x.

zyberg · Answer

No ;) Pythagorean theorem is only for lengths, not angles. It would be 10^2 = 5^2 + x^2. You need to solve for x.

zyberg · Answer

In the theorem c - hypotenuse, a and b - legs of the triangle.

zyberg · Answer

No.

zyberg · Answer

100 = 25 + x^2;
x^2 = 100 - 25 = 75
x = square root of 75

zyberg · Answer

Which approx. equals 8.66

zyberg · Answer

No problem ;)