Q:

SOMONE PLEASE HELP ME!!!THIS IS DUE TOMORROW!!Use the following picture for this question:a. Find both the exact and approximate value of the blue dotted side (rounded to the nearest tenth).b. Use your approximate answer from part a to find the side length of x. Round your answer for x to the nearest tenth.

Accepted Solution

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