Answer:
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Step-by-step explanation:
SOHCAHTOA
SIN: Opposite/hypo
COS: Adj/Hyp
TAN: Opp/Adj
Answer:
x = -5
Step-by-step explanation:
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Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
equation of line passing through (1,-7)( -4,8)
First let's find slope (m)
m = (8+7)/(-4-1)
= 15/-5 = -3
(x1,y1) = (1,-7)
Plugging above value in
y - y1 = m( x-x1)
y+7 = -3( x-1)
y+7 = -3x +3
y+3x +4=0