Question

What are the values of a and b?

Answer 1

Answer:

$A= \frac{400}{21} B=\frac{580}{21}$

Step-by-step explanation:

You just have to remember the rules of the triangles in order to be able to solve this:

The rule of trigonometry that you will have to use is a is similie to 20, B is simile to 29 and 20 is 20.

So you would have to put them like this:

$\frac{21}{20}= \frac{20}{a}= \frac{29}{b}$

You just have to clear the equations for A and B:

$a=\frac{20*20}{21}=\frac{400}{21}\\  b=\frac{29*20}{21} =\frac{580}{21}$

So that would be your answer.

Answer 2

The value of 'a' is 400/21 and the value of 'b' is 580/21 and this can be determined by using the properties of trigonometry.

According to the properties of trigonometry:

$\dfrac{21}{20}=\dfrac{20}{a}=\dfrac{29}{b}$    --- (1)

Now, in order to determine the value of 'a' use the above equation:

$\dfrac{21}{20}=\dfrac{20}{a}$

Cross multiply in the above equation.

$21a = 20\times 20$

21a = 400

Divide 400 by 21 in order to get the value of a.

$a = \dfrac{400}{21}$

Now, to determine the value of 'b' again use the equation (1).

$\dfrac{20}{\dfrac{400}{21}}=\dfrac{29}{b}$

Cross multiply in the above expression.

$20b = 29\times \dfrac{400}{21}$

$20b = \dfrac{11600}{21}$

Now, divide on both sides by 20 in the above expression.

$\rm b = \dfrac{11600}{21\times 20}$

$\rm b = \dfrac{580}{21}$

For more information, refer to the link given below:

https://brainly.com/question/19237987