Idiojasmineclaireidn
Answered

Makahanap ng mga solusyon at sagot sa lahat ng iyong katanungan sa IDNStudy.com. Magtanong ng anumang bagay at makatanggap ng agarang tugon mula sa aming dedikadong komunidad ng mga eksperto.

3. Two towers that are 45 miles apart track a satellite in orbit. The first tower's signal makes a 75° angle between the ground and satellite. The second tower forms 86° angle. a. How far is the satellite from each tower? b. How could you determine how far is the satellite above the earth? What is the altitude of the satellite?

Ano po answer po nyan...need ko po answer para sa math ko po​

Sagot :

Jisoonieeidn

As shown in the figure point c represents the location of the satellite.

[tex]\tt a. \: \frac{b}{c} = \frac{ \sin(B) }{ \sin(C) } \\ \\ \tt C = 180° - 75° - 86° = 19° \\ \tt b = \purple{137.88 \: \: miles} \\ \\ \tt \frac{a}{c } = \frac{ \sin(A) }{ \sin(C) } ⇒ a = \purple{133.51 \: \: miles}[/tex]

Therefore, 137.88 miles from the first tower, 133.51 miles from the second tower.

[tex] \\ [/tex]

[tex] \tt b. \: A = \frac{1}{2} ab \sin(c) = \frac{1}{2} \times 133.51 \times 137.88 \\ \tt \times \sin(19°) = 2996.66 [/tex]

(Draw the dotted line CD [tex]\perp[/tex] AB)

[tex]\tt A = \frac{1}{2} \times AB \times CD = 2996.66 \\ \\ \tt CD = \purple{133.18 \: \: miles}[/tex]

Therefore, altitude of the satellite is 133.18 miles

View image Jisooniee
Salamat sa iyong presensya. Patuloy na magbahagi ng impormasyon at karanasan. Ang iyong kaalaman ay mahalaga sa ating komunidad. Bawat tanong ay may sagot sa IDNStudy.com. Salamat at sa muling pagkikita para sa mas maraming solusyon.