Question

he picture shows a triangular island.

A right triangle is shown with an acute angle equal to 50 degrees. The length of the side of the triangle opposite to the acute angle is x. The length of the side of the triangle adjacent to the acute angle is y. The length of the hypotenuse is z.

Which expression shows the value of z?
Answer

x cos 50°

x sin 50°

y/sin50

y/cos50

Answer 1

cos 50° = y/z
z cos 50° = y
z = y/cos 50

Answer 2

bluepig148 is right

Answer 3

thank you too you both

Answer 4

If you do not know the trig functions very well, watch this

http://www.khanacademy.org/math/trigonometry/v/basic-trigonometry

To answer the question, you should write down the definitions of sin(50), cos(50), tan(50) and then solve for z=
then look for the answer.

Answer 5

thank you phi

Answer 6

Look at the locations L, M, and N on the road map shown below.

LMN is a right angle triangle with measure of angle LMN equal to 90 degrees and the measure of angle LNM equal to 75 degrees. The length of segment NM is 8 miles.

What is the distance between location L and location M?

8/sec 75

8/cot75

sec75/8

cot75/8

Answer 7

tan75=LM/8

Answer 8

LM=8/Cot75

Answer 9

thank you very much Muhammad

Answer 10

My Pleasure

Answer 11

please help, and show how thank you
Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole as shown below. Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADC measures 60 degrees and angle BDC measures 45 degrees. The length of DC is 9. Angle ADC measures 60° and angle BDC measures 45°. What is the distance between the points A and B on the flagpole?

Answer
1.73 feet
2.56 feet
4.32 feet
6.59 feet

Answer 12

Can you find BC?

Answer 13

i got it !!!! but thanks for tryin to help phi

Answer 14

what did you get?

Answer 15

i didnt get the answer yet but you use the propperties of triangles that are 30-60-90 and those that are 45-45-90

Answer 16

yes, that will work.

Answer 17

is it the third answer

Answer 18

First, what is BC?

Answer 19

or fourth answer

Answer 20

9

Answer 21

Yes. now what is AC. It is the side opposite 60 degrees.