Question

Find the value of h rounded to the nearest tenth

Answer 1

For angle G, FH is the opposite leg.
h is the hypotenuse.

The trig ratio that relates the opposite leg and the hypotenuse is the sine.


`\sin \theta = (opp)/(hyp)`


`\sin 48^\circ = (5)/(h)`


`h = (5)/(\sin 48^\circ)`


`h = 6.7`

Answer 2

h = 6 .7 units.

Explanation:

Given : Triangle .

To find : Find the value of h rounded to the nearest tenth.

Solution : We have given that

Triangle with hypotenuses = h .

Angle = 48 degree .

Opposite side = 5 .

By the trigonometric ratio :
`sin(angle) =(opposite)/(hypotenuse)`.

`sin(48) =(5)/(h)`.

0.743 =
`(5)/(h)`.

On multiplying both sides by h.

0.743 * h = 5

On dividing by 0 .743

h =
`(5)/(0.743)`

h = 6.72

Therefore, h = 6 .7 units.