Question

Help please this is due today-

Answer 1

The value of x is approximately 3.8, rounded to the nearest tenth.

In a right triangle, the trigonometric ratios can be used to relate the angles and sides. In this case, we can use the tangent of angle C, which is defined as the ratio of the length of the opposite side (ED) to the length of the adjacent side (CD).

The tangent of angle C is given by:

`\[ \tan(C) = (ED)/(CD) \]`

Substitute the given values:

`\[ \tan(63^\circ) = (7.5)/(x) \]`

Now, solve for x:

`\[ x = (7.5)/(\tan(63^\circ)) \]`

Using a calculator, find the tangent of 63 degrees:

`\[ x \approx (7.5)/(1.976)\]`

`\[ x \approx 3.8 \]`

Therefore, the value of x is approximately 3.8, rounded to the nearest tenth.