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ozzi
4 years ago
11

PLEASE HELP WITH THESE TWO QUESTIONSSS 1. Which value is equivalent to sin20∘?

Mathematics
1 answer:
Nata [24]4 years ago
4 0

Answer:

a) \cos(70\degree)

b) 12.72 units

Step-by-step explanation:

Recall that the sine and cosine are completed functions.

This means that:  \sin(x)=\cos(90-x)

\sin(20\degree)=\cos(90-20)

\sin(20\degree)=\cos(70\degree)

Recall that: sine ratio is opposite/hypotenuse

\sin 58=\frac{|PQ|}{15}

This implies that:

|PQ|=15\sin 58

|PQ|=15(0.848)

|PQ|=12.72

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Answer:

0.69473828 radians east of north.

Step-by-step explanation:

Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.

<u>Finding the base length from points (1,0) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

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d=√(x₂-x₁)²+(y₂-y₁)²

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To get the bearing of rock from ship position you apply the formula for tangent of an angle

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Tan Ф =0.83333333333

Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.

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3 years ago
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