A famous monument is 300 ft tall. When it casts​ 210-ft shadow, a nearby tree casts a shadow that is 27 ft long. About how tall is the​ tree?

38.57 feets

Step-by-step explanation:

Given that:

Height of monument, h = 300ft

Shadow of monument, s = 210 ft

Shadow of tree, s = 27ft

Height of tree, = x

Using the relation :

Height / shadow = height / shadow

Monument = tree

300 / 210 = h / 27

Cross multiply

300 * 27 = 210 * h

8100 = 210h

h = 8100 / 210

h = 38.57 feets

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.