<span>The answer will be (x - 3)^2</span>
1/15=8/x
x=8*15
x=120
The actual length of the dinosaur's tail is 120 in.
1/380=x/3420
3420/380=x
x=9
The height of this mountain on map would be 9 inches.
Answer: the first one is exponential and the second one is function
Draw a diagram:
from the top of the hill draw a line 18° above the horizontal to the top of the 30 ft pole.
From the top of the hill we draw a line 14° below horizontal to the bottom of the 30 ft pole.
We now have 2 right triangles sharing a common horizontal line,x, to the pole.
Let y=part of pole above horizontal line
30-y=part of pole below horizontal line.
We shall have the following equations:
y/x=tan 18
30-y/x=tan14
x=y/tan 18
x=(30-y)/tan 14
y/tan 18=(30-y)/tan 14
y tan 14=tan 18(30-y)
ytan 14=30tan 18-ytan18
y tan 14+y tan 18=30tan 18
y(tan 14+tan 18)=30*tan 18
y=(30*tan 18)/(tan 14+tan 18)
x=y/tan 18=30/(tan 14+tan10)=52.2423 ft
thus her distance x from the pole=52.2 ft
