Question

Please help me! i dont understand lol

Answer 1

Set your calculator to degree mode.

cos(78°) = x/26

x = 26cos(78°) = 5.41

Answer 2

x = 5.41

Explanation:

We can use the trigonometric ratios in a right-angled triangle to find the length of the base (
`\sf x`).

In a right triangle, the cosine of an angle is the ratio of the adjacent side to the hypotenuse. The cosine of an angle
`\sf A` is given by:

`\sf \cos A = \frac{\text{adjacent side}}{\text{hypotenuse}}`

Given that the angle
`\sf A` is 78° and the hypotenuse is 26, we can use this information to find
`\sf x`.

`\sf \cos 78^\circ = (x)/(26)`

Now, solve for
`\sf x`:

`\sf x = 26 \cdot \cos 78^\circ`

Use a calculator to find the numerical value:

`\sf x \approx 26 \cdot \cos(78^\circ)`

`\sf x \approx 26 \cdot 0.2079116908`

`\sf x \approx 5.405703961`

`\sf x \approx 5.41 \textsf{( in nearest hundredth)}`

So, the length of the base (
`\sf x`) is approximately 5.41.