A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or par
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The length of GM is 16. It is obtained from the right triangle KMI, altitude IG is drawn to hypotenuse KM and KG = 9 and IG= 12.
Step-by-step explanation:
The given is,
Right triangle KMI
KG = 9
IG= 12
Step:1
From the triangle KMI,
90° = ∅ + ∅
.................................(1)
From the triangle KGI,
Trignometric ratio,
tan ∅ =
.................................(2)
Where, Opp = 9
Adj = 12
Equation (2) becomes,
tan ∅ =
= 0.75
∅ =
0.75
∅ = 36.87°
From the equation (1),
∅ = 90° - ∅
= 90° - 36.87°
∅ = 53.13°
From the triangle IGM,
tan ∅ =
..........................(3)
Where, Opp = GM
Adj = 12
∅ = 53.13°
Equation (2) becomes,
tan 53.13° =
GM = (1.333)(12)
= 15.999
GM ≅ 16
Result:
The length of GM is 16. It is obtained from the right triangle KMI, altitude IG is drawn to hypotenuse KM and KG = 9 and IG= 12.
