The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and 6, which are 43 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 86.7' and 84.4', respectively. 84.4 86.7 NOTE: The picture is NOT drawn to scale. How far is the satellite from station A? distance from A How high is the satellite above the ground? height mi mi Enter your answer as a number; your answer shoulid be accurate to 2 decimal places.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter86: Bcd (binary Coded Decimal) Numeration Systems
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**Understanding Satellite Positioning Above the Earth**

The orbit of a satellite over Earth requires it to pass directly above two tracking stations, denoted as A and B, spaced 43 miles apart. When the satellite is located off to one side of these stations, the angles of elevation to the satellite from stations A and B are measured at 86.7° and 84.4°, respectively.

The diagram (not to scale) shows:

1. **Two points** labeled A and B, representing the tracking stations.
2. **Angles of elevation** from these stations towards the satellite, with station A having an elevation angle of 86.7° and station B an elevation angle of 84.4°.
3. **Distance between A and B**: 43 miles.
4. **Lines** from each station to the satellite forming the respective angles of elevation, indicating the satellite's position in relation to both stations.

**Tasks:**

1. **Find the distance of the satellite from station A**:
   - Required to determine how far the satellite is from station A (denoted as "distance from A").

2. **Determine the height of the satellite above the ground**:
   - Required to compute the vertical height of the satellite above the surface of the Earth (denoted as "height").

**Inputs to provide:**

- **Distance from A** = ________ miles
- **Height** = ________ miles

The answers should be given as numerical values, accurate to two decimal places.

**NOTE:** Both the diagram and the calculations are simplified and should be interpreted for educational purposes, not as to-scale representations.

**Answer Submissions:**

- Enter your answers with precision, ensuring they are rounded to two decimal places as required.
Transcribed Image Text:**Understanding Satellite Positioning Above the Earth** The orbit of a satellite over Earth requires it to pass directly above two tracking stations, denoted as A and B, spaced 43 miles apart. When the satellite is located off to one side of these stations, the angles of elevation to the satellite from stations A and B are measured at 86.7° and 84.4°, respectively. The diagram (not to scale) shows: 1. **Two points** labeled A and B, representing the tracking stations. 2. **Angles of elevation** from these stations towards the satellite, with station A having an elevation angle of 86.7° and station B an elevation angle of 84.4°. 3. **Distance between A and B**: 43 miles. 4. **Lines** from each station to the satellite forming the respective angles of elevation, indicating the satellite's position in relation to both stations. **Tasks:** 1. **Find the distance of the satellite from station A**: - Required to determine how far the satellite is from station A (denoted as "distance from A"). 2. **Determine the height of the satellite above the ground**: - Required to compute the vertical height of the satellite above the surface of the Earth (denoted as "height"). **Inputs to provide:** - **Distance from A** = ________ miles - **Height** = ________ miles The answers should be given as numerical values, accurate to two decimal places. **NOTE:** Both the diagram and the calculations are simplified and should be interpreted for educational purposes, not as to-scale representations. **Answer Submissions:** - Enter your answers with precision, ensuring they are rounded to two decimal places as required.
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