Trig help please?! Thanks!
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Trig help please?! Thanks!

[From: ] [author: ] [Date: 11-05-24] [Hit: ]
.The flag pole is 4 high, and you are 12 away from the top of it. We are looking for the angle of elevation of the distance from you to the top. This angle is formed by you and the ground. This is a triangle that is formed,......
So i have this problem that i dont remember how to figure out:

You are standing under a flagpole and are 12 ft away from the very top of it. If the flag pole is 4 ft tall, what is the angle of elevation of the distance between you and the top?

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Use SOH CAH TOA
Sin (angle) = opposite/hypotenuse
cos (angle) = adjacent/ hypotenuse
tan (angle) = opposite / adjacent

Use the sin formula for this one...

The flag pole is 4' high, and you are 12' away from the top of it. We are looking for the angle of elevation of the distance from you to the top. This angle is formed by you and the ground. This is a triangle that is formed, and we know the length of the side opposite to you and the ground - the flagpole height - which is 4. We also know the distance from you to the top - the hypotenuse - which is 12. Since we know the opposite and hypotenuse, use the sin formula above.

sin (angle) = 4/12
sin (angle) = 1/3
angle = sin^(-1) (1/3)
angle = 19.47122063 degrees.

Obviously, just round this to whatever digit necessary.
I would say 19.5 degrees for my answer.

Good luck!

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if you look at something taller than you your eyes make a line with that think. The angle
between that line and the horizontal is the angle of elevation.

Similarly if you look at something below you angle between the line you are eyes make and the horizontal is the angle of elevation.

therefore back to the problem the angle is ãrc sin 4/12

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its rd 2 tel widout a figure... ill try anyway...

picture a right triangle. The hypotenuse vil b 12ft, since the pole is 4 ft long, it will b d perpendicular side.
Nw, use Pythagoras theorem, find d length f d 3rd side.

Nw take d sine of the angle - perpndicular/hypotenuse, thats ur answer.

yea... jst realised...u dnt hv 2 find d 3rd side 4 this...!
sin theta = 4/12.... dats all..


hope its helpful...tc

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arcsin 1/3 ;

The sinus of the angle of elevation of the distance between you and the top is 4 ft / 12 ft = 1 / 3;
The angle is arcsin 1/3 = about 19.5 grades;

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sinθ = 4/12 = 1/3

=> θ = sin^(-1)(1/3) = 19.5°

:)>
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