Question

One diagonal of a parallelogram is 16.5. It makes angles of 36degrees 10 min and 14degrees 30 min. respectively with the sides. Find the sides.

Answer 1

again?

Answer 2

@G_nimer hey!

Answer 3

use the law of sines and my picture to solve the for the sides

Answer 4

you get the other angle by 180-A-B

Answer 5

you are mistaken about what i labled A and B

Answer 6

but your thinking is correct

Answer 7

can you lable it?

Answer 8

180-(36degrees 10 minutes) - (14 degrees 30 minutes)

Answer 9

the A and B in my picture are simply what i named the SIDES of the parallelogram

Answer 10

so i will call the 129 1/3 as angles C?

Answer 11

Yes!

Answer 12

what is the side that i must get?

Answer 13

oh i understand what you meant by 180 - A - B now

Answer 14

its side b and a?
or i will get the side in the middle too?

Answer 15

only side a and b because we already have the middle!

Answer 16

the middle was given to us in the problem
it is what we are going to use to help us solve for the missing sides

Answer 17

yes.... so i must get the two sides...but the value of 2 sides is equal to the upper triangle too?

Answer 18

yes

Answer 19

it MUST BE, otherwise it would not be a parallelogram

Answer 20

ok..next problem again..can you help me agian?

Answer 21

yes

Answer 22

why don't you type it right here so that i don't have to find it

Answer 23

ok..wait

Answer 24

From a certain point the angle elevation of the top of a building is 38 degrees. From a point 75 ft near the building the angle of elevation is 65 degrees. Find the height of the building.

Answer 25

nearer

Answer 26

just making sure, "from a point 75 ft NEARER the building..."

Answer 27

yep

Answer 28

okay lets draw a picture of this