Question

In ΔFGH, the measure of ∠H=90°, HG = 33, GF = 65, and FH = 56. What ratio represents the cosecant of ∠F?

Answer 1

`Cosec\ F= 1.9697`

Explanation:

Given

`\angle H=90^\circ`

`HG = 33;\ GF = 65;\ FH = 56.`

Required

The cosecant of F

See attachment for triangle illustration

Cosecant is calculated as:

`Cosec\theta = (Hypotenuse)/(Opposite)`

So,

`Cosec\ F= (GF)/(HG)`

So, we have:

`Cosec\ F= (65)/(33)`

`Cosec\ F= 1.9697`