Question

a man in a boat rowing from lighthouse whose height is 200m it takes 2 minutes to change the angle of elevation of 60 degree to 45 degree find speed of boat​

Answer 1

Explanation:

I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:

`sin60=\frac{200}x}` so

x = 231 meters (I rounded to the nearest whole numbers in this problem.

To find y:

`sin45=(200)/(231+y)` so

`y=(200)/(sin45)-231` and

y = 52.

The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.