cos 6002 sin 609y2 Need Help Read IN MI Solve the right tri

(cos 600)2 - (sin 609y2 Need Help? Read IN MI. Solve the right triangle 60 75° Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the length of the hypotenuse. (Round your answer to two decimal places.) Find the other acute angle. Need Help? My Notes Ask Your T 4.13 points SPreCale6 6.2.037 Solve the right triangle.

Solution

3) let length of side adjacent to given angle =x

tan75^o=60/x

x=60/tan75^o

x=16.08

let length of hypotenuse =y

sin75^o=60/y

y=60/sin75^o

y=62.12

other acute angle =180-75-90 =15^o

4)

let length of side adjacent to given angle =x

tan(pi/5)=109/x

x=109/tan(pi/5)

x=150.03

let length of hypotenuse =y

sin(pi/5)=109/y

y=109/sin(pi/5)

y=185.44

other acute angle =pi-(pi/5)-(pi/2)=(3pi/10)