Question

In the triangle below, determine the value of a.

Answer 1

@alyssa_xo

Answer 2

law of sines

Answer 3

can you find the missing angle ?

Answer 4

nope :(

Answer 5

the sum of all angles in a triangle is equivalent to 180 degrees.

Answer 6

use this fact to find the missing angle./

Answer 7

oooooooooh okay thank you so much! :)

Answer 8

we aren't done yet, but just tell me what the missing angle is.

Answer 9

55

Answer 10

yup

Answer 11

Now, the law of sines comes in handy

\(\large\color{black}{ \displaystyle \frac{ 5}{{\rm Sin}(90 ^\circ)} = }\) \(\large\color{black}{ \displaystyle \frac{ a}{{\rm Sin}(55 ^\circ)} }\)

Answer 12

\(\large\color{black}{ \displaystyle {\rm Sin}(90 ^\circ)=1 }\) (well known fact)

Answer 13

sin(55) you will need to approximate

Answer 14

.81?

Answer 15

yes, but to be accurate we will approximate it after
\(\large\color{black}{ \displaystyle \frac{ 5}{{\rm Sin}(90 ^\circ)} =\frac{ a}{{\rm Sin}(55 ^\circ)} }\)

\(\large\color{black}{ \displaystyle \frac{ 5}{1} =\frac{ a}{{\rm Sin}(55 ^\circ)} }\)

\(\large\color{black}{ \displaystyle 5 =\frac{ a}{{\rm Sin}(55 ^\circ)} }\)

\(\large\color{black}{ \displaystyle 5\times {\rm Sin}(55 ^\circ)= a }\)

Answer 16

4.09

Answer 17

then put your approximation in....
http://www.wolframalpha.com/input/?i=5+times+sin%2855%29

you are correct.
but to round up the 4.095 it would be 4.100

Answer 18

7.1

7

14.2

3.5

answer choices

Answer 19

@SolomonZelman

Answer 20

nvm i got it