Question

Solve the triangles and round fo the nearest tenth !!!

Answer 1

The given triangle is shown:

Recall the formula for the Tangent Ratio in a right triangle:

`\tan \theta=\frac{\text{opposite leg}}{adjacent\text{ leg}}`

Notice from the figure that the length of the leg opposite the angle is given as x and the length of the leg adjacent is 10.

Substitute these values into the tangent ratio with θ=27⁰:

`\tan 27^(\circ)=(x)/(10)`

Solve the equation for x:

`\begin{gathered} Cross\text{ Multiply:} \\ \Rightarrow x=10\tan 27^(\circ) \end{gathered}`

Evaluate the expression:

`x\approx5.10\text{ units}`

The value of x is about 5.10 units.