3. On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the
balloon, the angle of depression of the stake is 62º.
Find, to the nearest foot, the height of the balloon,
assuming the wind to be constant.

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

The distance of a chord from the centre of a circle is 12cm and the lenght of the chord is 10cm. find the radius of the circle

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?