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What is the bearing of C from A
Math
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A girl travels from garage A for 59km to garage B on a bearing of 037degree  and then turns right through 90degree and travels for 119km to garage C. What is the bearing of C from A if /AC/=138km

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Joshua43
Asked by Joshua43rep:65
Nigeria
13 September 2020

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2 answer(s)

adeb
Adeb answeredrep:173
School not set Nigeria
14 September 2020
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tanx = opp/adj

x = 53 + θ ---------- eqn(1)

opp = 119

adj = 59

tanx = 119/59

tanx = 2.0169

x = tan-1(2.0169)

x = 63.63

from eqn(1), 

θ = x - 53

= 63.63 - 53

= 10.63

Thus, the bearing from C to A = 90 + 10.63 = 100.63

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james_mark
James_mark answeredrep:568
School not set Nigeria
14 September 2020
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ABC is a triangle.

From pythagoras theorem, sinx = opp/hyp

x = θ + 37

opp = 119

hyp = 138

sin(θ + 37) = 119/138

sin(θ + 37) = 0.8623

θ + 37 = sin-1(0.8623)

θ + 37 = 59.58

θ = 59.58 - 37

θ = 22.58

OR

θ = 22.58 + 180 = 202.58

Therefore, the bearing from C to A is 22.58 or 202.58

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