Question

Fill in the blank. In the triangle below, y=__. Round your answer to two decimal places.

Please explain, thank you.

Answer 1

56.85, rounded to the two decimal place

Explanation:

Answer 2

To solve this we use trigonometric functions that would relate the hypotenuse y and the given values. For this case we use cosine function which is expressed as:

cosine theta = adjacent side / hypotenuse
cosine 52 = 35 / y
y = 35 / cos 52
y = 56.85