Question

Help me with this question?

My teacher requires work if it is not too much of a hassle please SHOW WORK!!!! thank you for helping.

Answer 1

`x = 5.8 cm` if that is the question.

The other answers are `A =`23.2cm^2`and`V = 162.4 cm^3#, but the given formula is incorrect for either area or volume.

Explanation:

If you have to find `x` using trig ratios, you need to know that you are working with the acute angle `angle` at the `base` of a right angle triangle.

The value of this angle is `36` degrees.

The trig ratio (mentioned in the question) that you want to apply is called the 'tangent' and it has the following properties:

1) Definition: Tangent = opp/adj

when comparing sides of a right angle triangle to an acute angle

2) Value: Tangent 36 degrees = `.727`

When we substitute the given values into equation 1):

`.727 = x/(8cm)`

`.727 (8cm) = x`

`5.8 cm = x`

The Area `A` of the Right Triangle shown using the correct formula is:

`A = 1/2*bh = 1/2*8cm*5.8cm = 4*5.8 = 23.2cm^2`

If you need to find the Volume `V` of the Right Triangular Prism shown, you will need one more step using the correct formula;

`V = (1/2bh)w` where we have introduced `w` for width.

When we substitute the given values into this equation:

`v = 1/2*8cm*5.8(cm)*7cm = 7(23.2)cm^3 = 162.4cm^3`