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Plz someone help me out in this​

Plz someone help me out in this​-example-1
User Nazmin
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1 Answer

21 votes
21 votes

Answer:

0.17

Explanation:

41×cos(D) = 9

cos(D) = 9/41

=>

in a circle with the radius of 41 the point on the circumference of the circle for the angle D has an x-distance from the center of the circle of 9.

therefore, cos(D) = that x-distance divided by the radius (as the trigonometric functions only deliver the values for the norm circle with radius 1).

what is the y-distance (sin(D)×41) ?

r² = x² + y²

41² = 9² + y²

1681 = 81 + y²

1600 = y²

y = 40

therefore, sin(D) = 40/41

tan(D) = sin(D)/cos(D)

you know how to divide 2 fractions with each other ?

by multiplying the 2 outer factors (to top-most and bottom-most) as the top part of the result, and by multiplying the 2 inner factors for the bottom part of the result.

(40/41 - 9/41) / (40/41 / 9/41) =

= 31/41 / (40×41 / 9×41) = 9×41×31 / 40×41×41 =

= 9×31 / 40×41 = 279 / 1640 ≈ 0.17

User Jiyeh
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