One side of a right triangle is known to be 9 cm long and the opposite angle is measured as 30°, with a possible error of ±1°. (a) use differentials to estimate the error in computing the length of the hypotenuse. (round your answer to two decimal places.)

Hypotenuse, L= 9 cosec x dL = 9 Cosec x *( cot x) dx dx( error in angle)=1 deg = Pi/180 radians dL,(error in Length of Hypotenuse at x= 30 deg)= 9* cosec 30* cot 30* PI/180 = 9*2*4*Pi/180 = 2/5 * Pi/180 It indicates 1% error in angle measurement result in 40% error in Length measurement Source(s): My children's doubts in mathematics and involvement to help them using my experience of education Now they are grown up let me see happiness in other child

First subtract 10 from both side
y^2+6y-16=0
(y+8)(y-2)=0
-8 and 2