# trigonometry

Radio direction finders asre set up at points A and B, 8.68 mi apart on an east-west line. From A it is found that the bearing of a signal from a transmitter is N 54.3degE, while from B it is N 35.7degW. Find the distance of the transmitter from B, to the nearest hundredth of a mile.
i got 7.05mi

1. 👍 0
2. 👎 0
3. 👁 332
1. If you draw this, you have a triangle with ASA. With those two angles, you can get the third angleC.

Use the law of sines:
a/SinA=8.68/sinC
solve for side a.

1. 👍 0
2. 👎 0
👨‍🏫
bobpursley
2. My diagram has triangle ABC with the interior angle at B equal to 54.3 and the interior angle at A equal to 35.7

(the bearings as given would not be inside the triangle as given)
BTW, angle C = 90

the distance to B would be 5.064

1. 👍 0
2. 👎 0
3. k thnks

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra

Explain whether the points (−3,8), (−2,3), (−1,−2), (0,−7), (1,−12), and (2,−17) represent the set of all the solutions for the equation y=−5x−7. No, because the set of all solutions of y=−5x−7 is represented

2. ### math

a radio station broadcasts at a frequency of 590,000 . What is the wavelength of the radio waves?

3. ### wits

Vector A has magnitude of 75 units and points in the positive x direction.vector C = A+B points points in the y direction and has magnitude of 95m.(a) sketch vector A; B & C. (b) Estimate the magnitude & direction of vector B. (c)

4. ### algebra

1.What is the standard form of a linear equation?A.x+y=0 B.y= MX+b C. m=rise/run D. ax +By=C 2.Which term could be used to describe the graph of a line on a coordinate plane? A. independent variable B. test points C. set of all

1. ### math help

Determine if the set of points (−1,3), (2,5), (3,8), and (4,5) is a function. Explain. A. The set of points is a function because each value in the domain corresponds to exactly one value in the range. B. The set of points is a

2. ### Physics

Radio amateurs are permitted to communicate on the "10 meter band." What frequency of radio waves corresponds to a wavelengthy of 20m? (The speed of radio wave is 3.00 x 10(8)m/s). Can you help me with setting up the formula?

3. ### Physics

A train travels between stations 1 and 2. The engineer of the train is instructed to start from rest at station 1 and accelerate uniformly between points A and B, then coast with a uniform velocity between points B and C, and

4. ### math

An ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and newspaper ads. Information about each medium is shown below. Medium CostPerAd # Reached Exposure Quality TV

1. ### physics

The drawing shows a uniform electric field that points in the negative y direction; the magnitude of the field is 4540 N/C. Determine the electric potential difference the following points VB − VA between points A and B VC −

2. ### Chemistry

SO CONFUSED PLEASE HELP!!! A certain radio wave has a wavelength of 7 inches. a. convert the wavelength of this radio wave into meters. (1 meter = 39.37) b. find the frequency of this radio wave.

3. ### Introduction to Graphic Design A

Hello! Thanks for checking my question out! ____ Mia’s clock radio communicates the time, plays the radio, and sounds the alarm at a set time, but Mia has trouble seeing the numbers on the clock at night because they are not