Question

Find the following ratios. Write each answer as a fraction and as a decimal rounded to four decimal places.

Answer 1

`y = 56.6208`

Explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

`cos(39) = (44)/(y)`

i.e.

`cos(\theta) = (Adjacent)/(Hypotenuse)`

Make y the subject

`y = (44)/(cos(39))`

`y = (44)/(0.7771)`

`y = 56.6208` -- approximated