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Svetlanka [38]
3 years ago
9

5. (01.07A MC)

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
I think it’s a carrot
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Solve the problem.A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course. At that t
Mice21 [21]

Given:

A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.

The distance between plan and mountain is 10 km.

A short time later, the bearing to the mountain becomes 45°.

Here NM is the distance between the plane from the mountain when the second bearing is taken.

We need to find the measure of NM.

We\text{ know that }\angle INM\text{ and }\angle\text{XNM are supplementary angles.}

The sum of the supplementary angles is 180 degrees.

\angle INM+\angle XNM=180^o\text{Substitute }\angle XNM=45^o\text{ in the equation.}

\angle INM+45^o=180^o

\angle INM=180^o-45^o

\angle INM=135^o

We know that the sum of all three angles of the triangle is 180 degrees.

\angle INM+\angle NIM+\angle INM=180^o\text{Substitute }\angle INM=135^o\text{ and }\angle NIM=35^o\text{ in the equation.}

135^o+35^o+\angle INM=180^o

170^o+\angle INM=180^o

\angle INM=180^o-170^o

\angle INM=10^o

Consider the sine law.

\frac{\sin N}{IM}=\frac{\sin M}{IN}=\frac{\sin I}{NM}

Take the equation to find the measure of NM.

\frac{\sin N}{IM}=\frac{\sin I}{NM}\text{Substitute }\angle N=135^o,\angle I=35^o,\text{ and IM=10 in the equation.}

\frac{\sin 135^o}{10}=\frac{\sin35^o}{NM}

NM=\frac{\sin 35^o}{\sin 135^o}\times10NM=8.11

Hence the measure of NM is 8.1 km.

The plane is 8.1 km far from the mountain when the second bearing is taken.

5 0
1 year ago
How are u doing guys?
Reil [10]

Answer:

gud

Step-by-step explanation:

mark brainliest lol

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A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and
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