Question

Find the value of h rounded to the nearest tenth

Answer 1

Answer:

h = 6 .7  units.

Step-by-step 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 : $sin(angle) =\frac{opposite}{hypotenuse}$.

$sin(48) =\frac{5}{h}$.

0.743 =  $\frac{5}{h}$.

On multiplying both sides by h.

0.743 * h = 5

On dividing by 0 .743

h = $\frac{5}{0.743}$

h = 6.72

Therefore, h = 6 .7 units.

Answer 2

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.

$\sin \theta = \dfrac{opp}{hyp}$

$\sin 48^\circ = \dfrac{5}{h}$

$h = \dfrac{5}{\sin 48^\circ}$

$h = 6.7$