The light from the lamp casts a shadow of a man standing 15ft away from the lamppost, the shadow is 5ft long. The angle of eleva
tion from the tip of the shadow to the lamp is 50degrees. To the nearest foot, the lamppost is how tall?
1 answer:
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Answer:
Constant of variation is 24.
Step-by-step explanation:
Inverse variation states that a relationship between two variables in which the product is remain constant.
If one variable increases then, the other one decreases in proportion so that the product is unchanged,
if y is inversely proportional to x i.e or
;where k is the constant of variation.
It is given that 3 identical water pumps takes 8 hours to fill a pool,
since, it will take less time with more pumps, so it is an inverse variation.
By definition of inverse variation;
Substitute the values to solve for k;
Multiply by 3 to both sides we get;
Simplify:
k = 24
Therefore, the constant of variation is, 24