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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
Distance = 110.6
Direction = north of west
Degrees = 105
Answer:
24
Step-by-step explanation:
20+20% is equal to 24.
154 ÷ 28 = 5.5
5.5 - 42 =
n = (-36.5)
