Question

question 13 of 28 what is the value of x in the figure below? if necessary, round your answer to the nearest tenth of a unit.

Explanation:

Step1: Use geometric - mean theorem

In a right - triangle, if an altitude \(x\) is drawn to the hypotenuse \(CB\) of right - triangle \(ABC\) with right - angle at \(A\), then \(x^{2}=CD\times BD\).
Given \(CD = 15\) and \(BD=4\).

Step2: Calculate \(x\)

We have \(x=\sqrt{CD\times BD}=\sqrt{15\times4}=\sqrt{60}\).

Step3: Simplify and round

\(\sqrt{60}\approx 7.7\) (rounded to the nearest tenth).

Answer:

D. 7.7