A 10-foot ramp must make an angle of 30degrees with the ground if it is to reach a certain window. What angle must a 15-foot ramp make with the ground to reach the same window?,

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.