To get how close the windmill is to the fire we proceed as follows:
distance from watch tower to the fire will be:
tan θ= opposite/adjacent
opposite=140 ft
adjacent=x
θ=3°
hence
tan 3=140/x
x=140/tan 3
x=2,671.36 ft
the distance from watch tower to windmill will be:
tan θ=opposite/ adjacent
θ=8°
opposite=140 ft
adjacent=y
thus
tan 8=140/y
y=140/tan8
y=999.15 ft
the distance between fire and wind mill will be:
2,671.36-999.15
=1675.21~1675 ft (to the nearest ft)
Answer:
Step-by-step explanation:
Given :
re - writing the equation , we have
we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.
The formula for finding the quadratic equation when the roots are known is :
- sum of roots(x) + product of root = 0
sum of roots = -2 + 4 = 2
product of roots = -2 x 4 = -8
substituting into the formula , we have:
, which could be written in inequality form as
comparing with , it means that :