Answer:
a. exact value 24√3, approximate value 41.6
b. 52.1
Step-by-step explanation:
a) From right triangle with angle 60°
Blue dotted line is a leg that is opposite to the angle 60°.
tan 60°= opposite leg/adjacent leg= (blue dotted line)/24
tan 60°= (blue dotted line)/24
(blue dotted line)=24*tan(60°)=24*(√3)=24√3≈41.6
b) From right triangle with 53° angle
x is hypotenuse
Blue dotted line is a leg that are opposite to the angle 53°.
sin (53°)= opposite leg/ hypotenuse =(blue dotted line)/hypotenuse
sin (53°)= (blue dotted line)/hypotenuse
sin (53°)= 41.6/x
x=41.6/[sin(53°)]≈52.1
