We know Sin theta is given by Perpendicular/ hypotenuse.
Hence in this case the angle given is 30 degree and hypotenuse is given as 10 foot.
Hence Sin 30= P/ 10
1/2= P/10
Hence on solving value of P is 5.
Now we have to compute the theta value for Perpendicular as 5 and now the height of ramp is increased to 15 foot, hence hypotenuse is now 15 foot.
Hence Sin theta= 5/15
On taking inverse of Sin Theta we will get the theta value as 19.47.
Hence the angle of ramp should is 19.47 degrees.