Question

Satellites KA-1212 and SAL-11 have spotted a UFO. Scientists want to determine its distance from KA-1212 so they can later determine its size. The distance between the satellites is 900 km. If KA-1212's camera is focused on SAL-11 , it must rotate 60° to see the UFO. If SAL-11's camera is focused on KA-1212, it must rotate 75°​​ to see the UFO. How far is the UFO from KA-1212?  Round your answer to the nearest kilometer.

Answer 1

Answer:

The distance of UFO from KA-1212 is 1229.7 km.

Step-by-step explanation:

We are given that,

Distance between the satellites = 900 km

Angle made by the satellite KA-1212 = 60°

Angle made by the satellite SAL-11 = 75°

So, from the figure below,

The third angle is given by = 180° - (60°+75°) = 180° - 135° = 45°

Then, using the law of sines, we have,

$\dfrac{x}{\sin 75}=\dfrac{900}{\sin 45}\\\\x=\dfrac{900\times \sin 75}{\sin 45}\\\\x=\dfrac{900\times 0.966}{0.707}\\\\x=\dfrac{869.4}{0.707}\\\\x=1229.7$

Thus, the distance of UFO from KA-1212 is 1229.7 km.

Answer 2

Satellites KA-1212 and SAL-11 have spotted a UFO. Scientists want to determine its distance from KA-1212 So, it is 1229.7 km.

What is a law of sine?

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

It is given that

Distance between the satellites  KA-1212 and SAL-11 = 900 km

Angle made by the satellite KA-1212 = 60°

Angle made by the satellite SAL-11 = 75°

So, the third angle is given by

= 180° - (60°+75°)

= 180° - 135°

= 45°

Using the law of sines, we get

x/sin75° = 900/sin 45°

x = 900 × sin75°/ sin 45°

x = 900 × 0.966/ 0.707

x = 1229.7

Thus, the distance of a UFO from KA-1212 is 1229.7 km.

Learn more about the law of sines;

https://brainly.com/question/17289163

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