Draw this answer on x-axis and y-axis for better understanding.

Let your tent is at a point, we say it O (0,0), Joe's tent is at Point J (in the first quadrant) and Karl's tent is at Point K (in the fourth quadrant). So now acc. to the ques. line joining OJ will make angle of 37.0 and line joining OK will make angle of 23.0 with the x-axis.

Given, OJ = 21m. and OK = 32m.

Therefore; vector OJ = (21xcos23)i - (21xsin23)j

and vector OK = (32xcos37)i + (32xsin37)j

From vector triangle,

OJ + JK = OK => JK = OK - OJ

vector JK = (32xcos37 - 21xcos23)i + (32xsin37 + 21xsin23)j

|JK|^2 = [(32xcos37 - 21xcos23)^2 + (32xsin37 + 21xsin23)^2] m^2

Jk         = 28.16m

So, the distance between Joe and Karl tent is = 28.16m or 28.20m

Hello

The equation g÷ 2u^2cos^2theta is used to solve Projectile Motion Problems to make make that equation represents Equation of Parabola

Check the Derivation here

Let projectile is thrown with a initial velocity u at an angle theta there with horizontal.

U=uxi+yuk

Ux=ucos theta

Uy=usin theta

Neglecting air resistance

Along x direction

S=ut+1/2at^2

Distance covered by projectile = velocity time

t=X(x)/ucos theta ----------(1)

Along y direction

S=ut+1/2at^2

y=usin theta × t-1/2gt^2 ---------(2)

Substituting (1) in (2)

y= usin theta × x/ucos theta - 1/2 g (x/ucos theta)^2

y=x tan theta - (g/2u^2cos^2theta

Let tan theta =A

-g/2u^2cos^2 theta =B

Y= Ax+Bx^2--------(Parabola)

This equation represents equation of parabola.

Hence path of projectile(Trajectory) is a parabola

Hope this Helps

All the best

There are seven physical fundamental quantities. Its been listed in the Measurement chapter of Physics 11th standard book as well.

I will enlist them down below with their SI units..

1. Length (m)
2. Mass (kg)
3. Time (s)
4. Electric current (amp)
5. temperature (kelvin)
6. amount of a substance (mol)
7. luminous intensity (candela)

Best wishes. Thank you.

Hi Chandu,

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BEST WISHES!

I'm afraid but you cannot do any thing now. You should have uploaded your pH certificate at the time of filling the form