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07 Feb 2016, 10:27
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D
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Difficulty:
35%
(medium)
Question Stats:
71% (01:47) correct
29%
(01:50)
wrong
based on 185
sessions
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A boat leaves point A heading directly across the river to point P, 120 yards away. A swift current immediately changes the boat’s direction, causing it to land instead at point B. How many yards is point B from the intended destination, P?
A. 40
B. 45
C. 60
D. \(40 \sqrt{3}\)
E. \(60 \sqrt{3}\)
Attachment:
2016-02-07_2125.png [ 3.76 KiB | Viewed 3550 times ]
poojakaradgi
Joined: 11 Jan 2016
Last visit: 20 Feb 2021
Posts: 3
Given Kudos: 2
Location: India
Schools: Foster '22 (A$)
GPA: 3.71
08 Feb 2016, 10:27
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40√3
using tan 30=x/120
using tan 30=x/120
08 Feb 2016, 10:34
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We are shown a 30-60-90 triangle and given the length of the long side = 120.
The ratio of the long side to the short side is \(\sqrt{3}:1\), therefore the length of the short side, PB is \(\frac{120}{\sqrt{3}}= \frac{3*40}{\sqrt{3}}=40\sqrt{3}\)
Answer: D
The ratio of the long side to the short side is \(\sqrt{3}:1\), therefore the length of the short side, PB is \(\frac{120}{\sqrt{3}}= \frac{3*40}{\sqrt{3}}=40\sqrt{3}\)
Answer: D
