What is the trigonometric ratio for sin c ? enter your answer, as a simplified fraction, in the boxes. $$ triangle a b c with right angle at b. b c equals 80. a c equals 82.

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

Find the measure of side AB applying the Pythagoras Theorem

substitute the values

Find the sin(C)

we know that

The function sine of angle C is equal to divide the opposite side angle C by the hypotenuse

so

substitute the values

Simplify

The value of trigonometric ratio   is

Step-by-step explanation:

Given : Triangle ABC with right angle at B and BC = 80 and AC = 82

We have to find the value of trigonometric ratio  

Consider the given triangle ABC,

We first draw the given right angled triangle ABC.

Also, given  BC = 80 and AC = 82

We know, Trigonometric ratio sine gives relationship between perpendicular and hypotenuse.

That is

Here, For  

Perpendicular = AB and hypotenuse = AC

We first find AB

Using Pythagoras theorem,

H = 82, B = 80

Thus,

Simplify, we have,

Thus, P = 18

Thus,

Thus, The value of trigonometric ratio   is

vertical=18cm horizontal=18cm hypotenuse=25.5

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