You are standing 15 ft away from a tree. The angle of elevation from the groumd where you are standing to the top of a tree is 52°. How tall is the tree?

the height of the tree is 19.2 ft

Step-by-step explanation:

Given;

distance from the foot of the tree, d = 15 ft

angle of elevation; θ = 52°

let the height of the tree = h

Make a sketch of the problem as follows;

                                  ↑

                                  ↑ h

     52°---------------------

                  15 ft

If completed to form a right triangle by adding the hypotenuse side, we can calculate the height of the tree as follows;

Therefore, the height of the tree is 19.2 ft

it costs $20 to interview each person for a survey. find the cost to obtain a +- 3% margin of error.

step-by-step explanation:

copy and paste, put it in google

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions