The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 35 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87.0° and 84.2°, respectively. (Round your answers to the nearest mile.)

A). How are is the satellite from station A?
-Answer: 713 miles

B). How high is the satellite above the ground?
-Answer: _______

It says (on an example) for a similar problem B, that you can get

d=(1018.3mi)sin 87° = 1017 miles

and that's how you would get B. But the numbers don't add up for the example and the problem. I really need help :(

Extra note: the path from the satellite to the ground forms the edge of the triangle that forms the 90 turn at the bottom. When a line is drawn from the satellite to the the station next that line it has a 87° turn. But we are trying to figure out the How high is the satellite above the ground.

  1. 👍 0
  2. 👎 0
  3. 👁 1,536
  1. the height of the satellite and the line through the stations form the right angle of a right triangle

    there are two hypotenuses (hypoteni?), one from each of the stations to the satellite

    curious as to how you found A) without the height

    h / a = tan(87º)

    h / (a + 35) = tan(84.2º)

    a tan(87º) = (a + 35) tan(84.2º)

    a [tan(87º) - tan(84.2º)] =
    35 tan(84.2º)

    a = 37.3 mi ... this is the distance from A to the spot directly beneath the satellite

    use trig to find all the other distances

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physic

    What is the period of revolution of a satellite with mass m that orbits the earth in a circular path of radius 7820 km (about 1450 km above the surface of the earth)?

  2. physics

    If the average speed of an orbiting space shuttle is 19600 mi/h, determine the time required for it to circle the Earth. Make sure you consider the fact that the shuttle is orbiting about 200 mi above the Earth's surface, and

  3. Math

    Ms. Sue please help! A radio signal travels at 3.00 • 10^8 meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height of 3.54

  4. Science

    Imagine Two Artificial Satellites Orbiting Earth At The Same Distance. One Satellite Has A Greater Mass Than The Other One? Which Of The Following Would Be True About Their Motion? A.The satellite with the greater mass is being

  1. Pre- AP Physics

    The earth exerts a force of 1400 N on an orbiting communications satellite that is 35 mi above the Earth. What is the magnitude of the force the satellite will exert on the earth? Answer in units of Newtons

  2. physics

    The Navstar Global Positioning System (GPS) utilizes a group of 24 satellites orbiting the Earth. Using "triangulation" and signals transmitted by these satellites, the position of a receiver on the Earth can be determined to

  3. physics

    A radar antenna is tracking a satellite orbiting the earth. At a certain time, the radar screen shows the satellite to be 181 km away. The radar antenna is pointing upward at an angle of 66.2 ° above the ground. Find (a) the x

  4. Physics

    An artificial satellite is orbiting the earth at altitude 500km . A bomb is released from the satellite . this bomb will

  1. science,

    1- If a satellite orbiting the Earth at a height of 150 km (93 miles) above the surface of the earth. Calculate the speed, acceleration and orbital period of the satellite. Using these given constants: M(earth) = 5.98 x 10^24 kg,

  2. Physics help quick!

    22. What does it mean for a force to act in accordance with an inverse square law? The square of the force is inversely proportional to the distance. The force decreases if the distance increases. The force is directly

  3. Mathematics

    Low Earth orbiting satellites orbit between 200 and 500 miles above Earth. In order to keep the satellites at a constant distance from Earth, they must maintain a speed of 17,000 miles per hour. Assume Earth's radius is 3960

  4. physics

    3. A satellite of mass 500 kg orbits the Earth with a period of 6000 s. The Earth has a mass of 5.98 x 1024 kg. (a) Calculate the magnitude of the Earth's gravitational force on the satellite. (b) Determine the altitude of the

You can view more similar questions or ask a new question.