LN = 120 and a = 10
<u>Step-by-step explanation:</u>
If we need to find the variable a as, LN is the line and M is the mid point between L and N. So LN = LM + MN
LM = 4a = 40
a =
= 10
MN = 8a = 8×10 = 80
So LN = LM + MN
LN = 40 + 80 = 120
Answer:
Number of minutes per lap = 2.25 minute
Number of lap per minute = 0.444 lap (Approx)
Time taken for 15 lap = 33.75 minutes
Step-by-step explanation:
Given:
Number of laps = 4
Time taken = 9 min
Computation:
Number of minutes per lap = 9 / 4
Number of minutes per lap = 2.25 minute
Number of lap per minute = 4 / 9
Number of lap per minute = 0.444 lap (Approx)
Time taken for 15 lap = 15 x 2.25
Time taken for 15 lap = 33.75 minutes
Answer:
Step-by-step explanation:
If we think about a right triangle, we get that the hypotenuse is 24ft or the length of the ladder. The base of the ladder is 15ft away from the building which is the leg of the right triangle. The screenshot is the diagram (my drawing isn't that good lol:))
Thus we can use cosine function with the angle between the ladder and the ground since we need to find the angle and we get

and 
The angle is 51.3 degrees hope that helps!