Question

13.Find the missing side. Round to the nearest tenth.25912XA.5.6B. 7.1С8.1D. 25.7

Answer 1

We were provided with a right-angled triangle. For a right-angled triangle, we can use the trigonometric ratios to solve for unknown sides or angles.

First, let's label the triangle to determine the trigonometric ratios to use:

From the diagram above, we are given:

adjacent = 12

angle = 25 degrees

x = oppossite

We are going to use the tangent ratio, which is:

`\tan \text{ }\phi\text{ = }(opposite)/(adjacent)`

When, we substitute the given data, we have:

`\begin{gathered} \tan 25^0\text{ = }(x)/(12) \\ x=tan25^0\text{ }*\text{ 12} \\ =\text{ 5.6 (nearest tenth)} \end{gathered}`

Answer: x = 5.6 (option A)