Please help me with this Maths question (ignore the other questions)
1 answer:
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Answer:
their distance is increasing at the rate of 41.6 miles/hr
Step-by-step explanation:
Given the data in the question;
first we determine the distance travelled by the first boat in 10 min when the second boat was crossing its path;
⇒ ( 30/60 ) × 10 = 5 miles
so as illustrated in the diagram below;
y² = x² + ( x + 5 )²
2y = 2x
+ 2(x+5)
y = ( 2x + 5 ) ]
= [( 2x + 5 )/y ]
------ let this be equation 1
Now, given that, = 30 miles/hr, when x = 10
so
y = √( 10² + 15² ) = √325
so from equation 1
= [( 2x + 5 )/y ]
we substitute
= [( 2(10) + 5 ) / √325 ]30
= [ 25 / √325 ] × 30
= 41.6 miles/hr
Therefore, their distance is increasing at the rate of 41.6 miles/hr
