Answer:
1) From the measure of 40°, you can write:
tan(40°) = 100/x, where x is the base from the building to the tower
⇒x=100/tan(40°) = 119,18 m
2) From the measure of 30°, you can write
tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.
Then, y = tan(30°) * 119,18 = 68,81 m
3) The height of Jill's building is 100 - 68,81 = 31,19 m
The answer is v= -8x/-xy+9
Here is the step by step process (This is going to be long):
1. 9v+8x=vxy
Multiply both sides by vx
2. 9v+8x+−vxy=vxy+−vxy
−vxy+9v+8x=0
Add -vxy to both sides
3. −vxy+9v+8x+−8x=0+−8x
−vxy+9v=−8x
Add -8x to both sides
4. v(−xy+9)=−8x
Factor out the variable v
5. v(-xy+9)/-xy+9 = -8x/-xy+9
v = -8x/-xy+9
Divide both sides by -xy+9
Answer:
a) TO = OP = 13
b) Height = 12
Step-by-step explanation:
a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.
Perimeter of triangle TOP = 36 cm
=> TO + OP + TP = 36
=> x + x + 10 = 36
=> 2x = 26
=> x = 13
=> TO = OP = 13 cm.
b) Apply Pythagorean theorem:
height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)
or
height^2 + (10/2)^2 = 13^2
or
height^2 + 25 = 169
or
height^2 = 144
or
height = 12
Hope this helps!
3180 because you divide 31800 by 10
