Question

Find the value of x. Round your answer to the nearest tenth.

The diagram is not drawn to scale

Answer 1

The value of x = 2.3 units to the nearest tenth

Explanation:

* The triangle is right angle triangle

- We can use one of the trigonometry functions to find the value of x

∵ The measure of the one of the acute angle is 25°

∵ The length of the adjacent side of the angle is 5 units

∵ The length of the opposite side of the angle is x

- because we have opposite and adjacent of the given angle

∴ We will use the tan function

∵ tanФ = opposite to Ф/adjacent to Ф

∴ tan25 = x/5 ⇒ by using cross-multiplication

∴ x = 5 × tan25 = 2.33 ≅ 2.3

∴ The value of x = 2.3 units to the nearest tenth

Answer 2

Answer: 2.3

Explanation:

The triangle shown in the image attached is a right triangle.

Therefore, you can calculate the missing lenght of the triangle (x), by applying the proccedure shown below:

- Apply
`tan\alpha=(opposite)/(adjacent)`

- Substitute values.

- Solve for the missing side x.

Therefore, you obtain the following result:

`tan\alpha=(opposite)/(adjacent)\\tan(25)=(x)/(5)\\x=5*tan(25)\\x=2.3`