A) \[\frac{4500}{\sqrt{3}}\]
B) \[\frac{4500(\sqrt{3}-1)}{\sqrt{3}}\]
C) \[4500\sqrt{3}\]
D) \[\frac{4500(\sqrt{3}+1)}{\sqrt{3}}\]
Correct Answer: B
Solution :
[b] |
\[\tan 60{}^\circ =\frac{150}{x}\Rightarrow x=\frac{150}{\sqrt{3}}\] |
Also, \[\tan 45{}^\circ =\frac{150}{x+y}\] |
\[\Rightarrow x+y=150\] |
\[\Rightarrow y=150-x=150-\frac{150}{\sqrt{3}}\] |
\[\Rightarrow y=150\left( \frac{\sqrt{3}-1}{\sqrt{3}} \right)=\] distance travelled |
Speed in (m/hr) \[=\frac{150(\sqrt{3}-1)}{\sqrt{3}}\times \frac{60}{2}\] |
\[=4500\frac{(\sqrt{3}-1)}{\sqrt{3}}\] |
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