Q:

PLEASE HELP ME!!!Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.Here is his solution:cos⁡x=16/20 x=cos^(-1)⁡(16/20)=36.8698976≈37° Bob made a mistake in his work. Explain the mistake AND write the correct solution.

Accepted Solution

A:
The given triangle is a right-angled triangle. This means that special trig identities can be appliesThese identities are as follows:sin (theta) = opposite / hypotenusecos (theta) = adjacent / hypotenusetan (theta) = opposite / adjacentNow, for the unknown theta in the triangle:The opposite side is 16 and the hypotenuse is 20This means that we will use the sin not the cos as Bob didThe solution will be as follows:sin (theta) = opposite / hypotenusesin (theta) = 16 / 20theta = sin^-1(16/20)theta = 53.13°Hope this helps :)