Using satellite technology, the distance between two planes

August 30, 2017

Question
Graded.gif” alt=”Text box: name: date: “>

Test: Applications of Trigonometry

Answer the following questions to practice what you’ve learned. Write your responses in the space provided and turn the assignment in to your instructor.

1. .jpg”>Using satellite technology, the distance between two planes can be measured by keeping track of the angle between them and the distance of each plane to the tracking station..gif” alt=”Text box: score “>

Assume plane 1 is 176.27 miles away d plane 2 is 222.34 miles away and the angle formed with the tracking station is 38.59°. How far apart are the planes?

2. Solve for the missing length and the other two angles in the triangle below..gif” alt=”Text box: score “>

3. Find the length a..gif” alt=”Text box: score “>

4. Assume two radar stations which are 25 miles apart are both tracking a plane. At a given moment, the angle between station 1 and the plane is 73°, while the angle between station 2 and the plane is 46°. With this information, how far is the plane from station 2?.gif” alt=”Text box: score “>

5. Solve for all missing sides and angles..gif” alt=”Text box: score “>

6. Solve for all missing sides and angles..gif” alt=”Text box: score “>

7. Use the dot product to determine which of the following vector pairs are orthogonal.

a. v1 = (-5,5) and v2 = (1,1)

b. v1 = (154,169.4) and v2 = (88,64).gif” alt=”Text box: score “>

8. Consider the vector v = (5,8).

a. What is the angle between v = (5,8) and the positive x-axis?

b. Write v in the form (|v|cosθ|v|sinθ)..gif” alt=”Text box: score “>

9. a. Calculate the scalar projection of (5,3) onto (7,-2).

b. Interpret this projection graphically..gif” alt=”Text box: score “>

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10. Let v1 = (1,6) and v2= (5,-3).

a. Compute v1 + v2, v1 – v2, and v2 – v1.

b. Sketch v1, v2, v1 + v2, v1 – v2, and v2 – v1 on the axes below..gif” alt=”Text box: score “>

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.gif” alt=”Text box: your score ___ of 100″>

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