Question :
Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
away from each other and using angle measuring device they can determine the angle from
each of their ships to the signal fire. The angle at ship A is 82º and the angle at ship B is 78º.
How far is it from Ship B to the signal fire at point C?
Hint: Use Law of Sines:
sin A = simb = sin
82
140 it
A(48.9) b(400.4) C(405.3) D(673.4)
Answers
Answer:
C) 405.3 ft
Step-by-step explanation:
A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.
Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:
[tex]\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]
In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
82 + 78 + ∠C = 180
∠C + 160 = 180
∠C = 20°
Using sine rule:
[tex]\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a= \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft[/tex]
a = distance from Ship B to the signal fire at point C
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Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
measure or arc BAC should be 297 degrees (with assumptions)
Step-by-step explanation:
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This recipe makes 8 flapjacks.
How much of each ingredient is needed to make 12 flapjacks by following this recipe?
Recipe: Makes 8 flapjacks
140 g margarine
120 g sugar
100 mL syrup
240 g oats
50 g raisins
Answers
Answer:
Margarine = 210 gram
Sugar = 180 gram
Syrup = 150 ml
Oats = 360 gram
Raisins = 75 grams
Step-by-step explanation:
Given:
Recipe for 8 flapjacks
140 g margarine
120 g sugar
100 mL syrup
240 g oats
50 g raisins
Find:
Recipe for 12 flapjacks
Computation:
Margarine = [140/8]12
Margarine = 210 gram
Sugar = [120/8]12
Sugar = 180 gram
Syrup = [100/8]12
Syrup = 150 ml
Oats = [240/8]12
Oats = 360 gram
Raisins = [50/8]12
Raisins = 75 grams
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Answers
Step-by-step explanation:
Let the amount of money Andre has be $A.
Answer:
+25
Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
Change in altitude:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
because
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Answer:
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Step-by-step explanation:
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Answers
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Answers
60% as a decimal is 0.60
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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subtract 0.5x from both sides
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Answers
Answer:
Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation: