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astra-53 [7]
3 years ago
13

Help me with this please

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

-(√105)/11

Step-by-step explanation:

Tangent is the ratio of sine to cosine. When tangent is positive, sine and cosine have the same sign. This means the appropriate choice will be either the first one or the last one.

cos(θ) = -√(1 - sin(θ)²) . . . . in the 3rd quadrant

... = -√(1 - (-4/11)²)

... = -(1/11)√(121 -16)

... = -(√105)/11 . . . . . . matches the first selection

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The drawing of the lake has the scale of 1 centimeter to 80 meters.

Now, the actual width of the scale is of 1000 meters.

To find out the width of the lake on the drawing we need to convert the actual length as per the scale drawing.

Since we know that in the given scale drawing we have,

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Or we can say that

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