Answer:
Explanation:
First that all, notice that this is a trigonometry problem. therefore we have to use formulas that we know
Ec.1. Sin(β) = opposite/Hypotenuse
Ec.2. Cos(β)= adjacent/ Hypotenuse
β is the anlge of elevation from the feet of th eobserver to the top of the tree. (44)
the opposite is the hight of the tree (22ft)
so we need to find the the Adjacent that represent the width of the river.
using Ec.2 I get: adjacent(River's width) = Cos(β) x Hypotenuse.
We do not know the value of the hypotenuse, but we can calculate with Ec. 1
Hypotenuse = opposite / Sin(β)
= 22ft / sin(44)
=1242.8 ft
Now we know the value of the Hypotenuse, we can use Ec.2 to find the width of the river
Adjacent(River's widthe)= Cos(44) x 1242.8 ft
= 1242.6ft
the width of the river is 1242.6 ft