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

In ΔFGH, the measure of ∠H=90°, HG = 33, GF = 65, - id90336512225103, cherylmorton7302

Ответ:

kyramillerr8639

25.04.2021

Mathematics

$Cosec\ F= 1.9697$

Step-by-step 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:

$Cosec\theta = \frac{Hypotenuse}{Opposite}$

So,

$Cosec\ F= \frac{GF}{HG}$

So, we have:

$Cosec\ F= \frac{65}{33}$

$Cosec\ F= 1.9697$

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Ответ:

haileysolis5

11.07.2022

Mathematics

3/4 of 192

You need to get rid of the denominator, so you multiply by 4 on each side.

3/4 × 4 = 3
192 × 4 = 768

Now, you divide 768 by 3, which is now your scale factor.

768 ÷ 3 = 256

Hope this helps! :D

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

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