Question

In each triangle below find the missing angles and sides. Show all of your work. In all questions m∠C=90°. Find the following and show all work including the trigonometric ratios used:
The measure of angle A
The measure of angle B
The length of side AC

Answer 1

One more question:
Find the following and show all work including the trigonometric ratios used:

The measure of angle A
The length of side AB
The length of side BC

Answer 2

@Gokuporter @mathmale @matheducatorMcG @ayubie

Answer 3

@Luigi0210 @nincompoop @obadwan23 please help

Answer 4

@jabez177 @jordanloveangel

Answer 5

@mayankdevnani @kohai @Liam2004

Answer 6

use pythagoras theorem for first question to determine side

Answer 7

so, a^2+b^2=c^2? what would the actual values be? so 10^2+b^2=4^2? im literally so confused

Answer 8

first of all do you know how to use sin, tan and cos?

Answer 9

nope

Answer 10

10^2=b^2+4^2
Hypotenuse^2=length of one side^2+length of other side^2

Answer 11

\[\large \bf (hypotenuse)^2=(one~side)^2+(other~side)^2\]

Answer 12

okay, so the hypotenuse equals 10?

Answer 13

yep

Answer 14

Ah, so 10^2= ??? how would I find the length of AC?

Answer 15

use above hint

Answer 16

10^2= b^2 + 4^2?

Answer 17

yep

Answer 18

Ah okay. Now we solve that. Give me a sec

Answer 19

okay

Answer 20

100= b^2+16?

Answer 21

solve for b

Answer 22

Do I subtract 16 from 100 now? That'd give me 84= b^2

Answer 23

Should I square it?

Answer 24

take square root of 84

Answer 25

9.16515138991

Answer 26

correct

Answer 27

now what?

Answer 28

it is the length of b

Answer 29

I need: The measure of angle A
The measure of angle B
The length of side AC

Answer 30

use trigonometry for finding angles

Answer 31

So for finding angle A, Should i use tan since it's opposite over adjacent?

Answer 32

yep

Answer 33

so it would be? tan (90 degrees)= ???????? Idk how to set this up

Answer 34

tanA=opposite/adjacent

Answer 35

you need to calculate A

Answer 36

How would I do that? btw, thanks for your help and patience.

Answer 37

and also how woul I find the measure of angle B as well?

Answer 38

does opposite/adjacent mean 10/4? idk the values

Answer 39

nope

Answer 40

adjacent is b=9.4

Answer 41

i mean 9.1

Answer 42

so tanA= x/9.1? how do I figure this out?

Answer 43

tanA=4/9.1

Answer 44

or use sinA
sin is way much better

Answer 45

What does the A stand for? How do I plug this into my calculator?

Answer 46

is there an easier way to find the measure of angles A and B?

Answer 47

so the answer for the length of AC is 9.1?

Answer 48

ahh this is due soon and i have no clue what to do lol

Answer 49

A is a point

Answer 50

ok so to find the measure of angle a, we can use what?

Answer 51

sine

Answer 52

sine= opp/hypo so what would the values be according to the triangle?

Answer 53

yep

Answer 54

something over 10?

Answer 55

@SnuggieLad can you take over this?
i have to go now

Answer 56

what does opposite/hypo represent? I know that the hypotenuse is 10

Answer 57

4/10?

Answer 58

@RhondaSommer
can you take over this? i have to go now

Answer 59

yep @troyeiscool you are correct

Answer 60

so the measure of angle a would be sine=4/10??? i dont get what to put as the answer

Answer 61

then use inverse to find out

Answer 62

??????

Answer 63

can you just help me with the answers and I'll study the work?

Answer 64

ik you have to go so

Answer 65

please help!

Answer 66

@Kainui @KendrickLamar2014 @Luigi0210 please help guys.

Answer 67

The measure of angle A
The measure of angle B
The length of side AC

Answer 68

To find a missing angle, we have to use the inverse buttons like tan-1, but how do I find the measure of angle A and angle B?

Answer 69

@563blackghost @shaleiah

Answer 70

@kropot72 @ganeshie8