Answer:
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
X for the equations are:
1.-1.5
2.10
3.1.333
Answer:
30 x 30 x 26 = 23,400 area= 23,400
Step-by-step explanation: hope it helps
Answer:
b and m or known the y-intercept and slope
Step-by-step explanation:
you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.
then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.
hope that helps
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
