Question

6 The drawing below represents the frame for an isosceles triangle-shaped roof. The height of the roof is 6 feet. 30° А B What is the distance from Point A to Point B in feet? (G.8b)(1 point) O A. 4V3 OB. 123 O C. 24 O D. 12

Answer 1

Given the information about the isosceles triangle, we have the following right triangle:

we can find half the distance from A to B by using the trigonometric function tangent as follows:

`\begin{gathered} \tan (30)=\frac{\text{opposite side}}{adjacent\text{ side}}=(6)/(x) \\ \Rightarrow x=(6)/(\tan (30))=\frac{6}{\frac{1}{\sqrt[]{3}}}=6\sqrt[]{3} \end{gathered}`

therefore, the distance from point A to point B is:

`d(A,B)=2\cdot(6\sqrt[]{3})=12\sqrt[]{3}`