Her average speed per hour, was 42.5 miles per hour
Guessing you want the average speed. We can multiple each speed by the time we spent going that speed, and them all together and then divide by the total time we spent in traffic to get the average speed. We spent a total of 7.5 minutes in traffic, so average speed = (12*1.5+0*3.5+15*2.5)/7.5 = 7.4 m/s
This is the concept of application of Pythagorean theorem and algebra;
Suppose the the length of the ladder is x ft, the distance from the ground to the top of the ladder will be (x-8) ft, the distance from the bottom of the ladder to the building is 16ft, thus to find the length of the ladder we proceed as follows;
c^2=a^2+b^2
x^2=(x-8)^2+16^2
x^2=x^2-16x+64+256
collecting the like terms we get:
x^2-x^2+16x=320
16x=320
solving for x we get:
x=320/16
x=20 ft
the answer is x=20 ft
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