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Rina8888 [55]
3 years ago
9

In the figure, m∠B = m∠C and ∠D is a right angle. cos B =

Mathematics
2 answers:
Rasek [7]3 years ago
5 0

Answer: The correct option is (a), i.e., cos B= sin A.

Explanation:

It is given that the ∠B = ∠C and ∠D is a right angle.

Since two corresponding angles of both triangles are same, so by angel sum property three angles are also equal. Therefore by AAA rule both triangles are similar.

It is given that,

\angle B=\angle C

\cos B=\cos C

Using angle sum property angle C is written as,

\cos B=\cos (180-\angle D-\angle A)

\cos B=\cos (180-90-\angle A)

\cos B=\cos (90-\angle A)

By using quadrant concepts.

\cos B=\sin A

Therefore option A is correct.

iren2701 [21]3 years ago
3 0

Answer:

<u><em>cos B = sin A</em></u>

Step-by-step explanation:

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Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as \frac{opposite}{hypotenuse}. So let's plug in known values:

sin(43) = \frac{27}{x}

Multiply both sides by x

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divide both sides by sin(43)

x=\frac{27}{sin(43)}

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

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If you look at a state map with a representative fraction scale of 1:500,000; the straight-line distance between two cities is e
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