Question

help please

could i find 2 missing angle measures if i know some of the side lengths of a triangle?

Answer 1

whats the question??

Answer 2

that is a copy and paste of the question...i think it has something to do with cotangent, cosecant, and secant...i am suppose to make up my own example but i don't understand it that well...

Answer 3

If you're dealing with a right triangle, then the answer is definitely yes

If you're dealing with just any type of triangle (that may not be a right triangle), then the answer isn't always yes

Answer 4

with a right triangle, you will have to know at least 2 sides to figure out the two missing angles

Answer 5

sorry for taking long, computer crashed...
but it is a right triangle...
i am suppose to use this triangle in my example

Answer 6

ok do you know any of the sides?

Answer 7

the thing said i am suppose to make some side lengths as part of the example i make...

the question that i gave is a question that a"friend" sent me(part of the lesson)
and i am suppose to answer him/her by making up my own example(which includes making up the side lengths and etc.)
I believe it has to deal with csc, sec, or cot but i am not familiarized with either of them.

Answer 8

ok so you can basically write in any reasonable numbers you want?

Answer 9

for the side lengths

Answer 10

correct

Answer 11

so what numbers did you want to use

Answer 12

how about... 10 and 14?

Answer 13

ok where do you want to put 10 and 14, go ahead and draw them in

Answer 14

if you want to know angle C, then you can say

tan(C) = 10/14

tan(C) = 0.7142857

C = arctan(0.7142857)

C = ??


Note: make sure you're in degree mode

Answer 15

if you want to use cotangent, then

cot(C) = 14/10

cot(C) = 1.4

1/tan(C) = 1.4

tan(C) = 1/1.4

tan(C) = 0.7142857

C = arctan(0.7142857)

C = ??

but you end up getting the same thing as before

Answer 16

??? confused

using angle c the adjacent would be 14? and opposite is 10?

14 / 10 = 1.4 ??? how do you get 0.7142857

Answer 17

1/tan(C) = 1.4 since cot(C) = 1.4

you then take the reciprocal of both sides

so flip 1/tan(C) to get tan(C)

flip 1.4 or 1.4/1 to get 1/1.4

Answer 18

1/1.4 = 0.7142857

so

1/tan(C) = 1.4

turns into

tan(C) = 0.7142857

Answer 19

and that is the angle measure????

Answer 20

not quite

Answer 21

tan(C) = 0.7142857

C = arctan(0.7142857)

C = 35.537677

Answer 22

so angle C is roughly 35.537677 degrees

Answer 23

now that you know that C = 35.537677, you can use this to find angle A

A+C = 90

A+35.537677 = 90

A = 90 - 35.537677

A = 54.462323

So angle A is roughly 54.462323 degrees

Answer 24

thank you:)

Answer 25

sure thing