A submarine rises a vertical distance of 200 m to the surface. The distance measured along the submarine's path is 500 m. Determine the angle of inclination of the submarine's path to the nearest degree.

24°

Step-by-step explanation:

Oh, okay. So this is like (kinda?) the opposite of what I did in the last one. This time, instead of finding the side length of the imaginary triangle, you are trying to find the angle of elevation (that's what I call it)

sin θ = 200/500

θ = sin^-1 (200/500)

θ = 23.578...

Rounded:

θ = 24°

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.