Evaluate the function requested. Write your answer as a fraction in lowest terms. 21
35
В
28
Find sin A.
а.
4
sin A =
3
c.
sin A =
b.
d.
4
sin A =
5
5
sin A =
4

 4 / 5

Step-by-step explanation: 1) For a right triangle, the ratio sine is defined as:

sin(x) = opposite-leg / hypotenuse

2) x is the angle. In this case: A

3) As per the figure, the opposite leg to tha angle A measures 28

4) As per the figure, the hypotenuse measures 35

5) Calculations:

sin(A) = 28 / 35

Simplify dividing both numerator and denominator by 7 => 28/35 = 4/5

dnji

step-by-step explanation:

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geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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