Question

Describe a real-world scenario and which it would be important to apply trigonometric ratios or special right triangles.

Answer 1

Most notable application scenario is civil engineering. Trigonometric calculations are essential when projecting buildings, bridges, parking lots, or pretty much anything that is supposed to be used as a piece of infrastructure. Failure to calculate properly can be disastrous and can even cost people lives if bridges fall or roofs on buildings crash or similar.
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Answer 2

Answer:

In forensic science trigonometry can be used to calculate a projectile’s trajectory, to estimate what might have caused a collision in a car accident or how did an object fall down from somewhere, or in which angle was a bullet shot etc.

Electrical engineers also use trigonometry. Modern power companies use alternating current to send electricity over long-distance wires. In an alternating current, the electrical charge regularly reverses direction to deliver power safely and reliably to homes and businesses.

Electrical engineers use trigonometry to model this flow and the change of direction, with the sine function used to model voltage. Every time you flip on a light switch or turn on the television, you’re benefiting from one of trigonometry's many uses.