Answer:
Step-by-step explanation:
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How do you do addition and subtraction in Scientific Notatation?
1 answer:
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Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
Since the slope is falling, instead of rising, it would be negative.
Now, on the line, I plotted (0, 2) and (-2, 10).
You would now plug this into the rise/run formula.
The formula is
The equation would become,
= 
= -4
I believe the answer would be -4.
I hope this helps!
Now, on the line, I plotted (0, 2) and (-2, 10).
You would now plug this into the rise/run formula.
The formula is
The equation would become,
I believe the answer would be -4.
I hope this helps!