A is 10 miles west of B. C is 30 miles north of B. D is 20 miles east of C. What is the distance from A to D ? · ABC26GN3606
Subject: General Aptitude · Chapter: Time and Distance · Exam: M.B.A. 2006
$A$ is 10 miles west of $B . C$ is 30 miles north of $B . D$ is 20 miles east of $C$. What is the distance from $A$ to $D$ ?
(a)10 miles
(b)30 miles
(c)$10 \sqrt{10}$ miles
(d)$10 \sqrt{13}$ miles
(e)$30 \sqrt{2}$ miles
Answer
Explanation
Required distance $$\begin{aligned} & =A D \quad \sqrt{(A E)^{2}+(D E)^{2}} \\ & =\sqrt{(30)^{2}+(30)^{2}} \\ & =\sqrt{900+900}=\sqrt{1800} \\ & =30 \sqrt{2} \text { miles } . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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