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3 years ago

Find the value of h rounded to the nearest tenth

Mathematics

2 answers:

Marrrta [24]3 years ago

4 0

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.

3241004551 [841]3 years ago

3 0

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.

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

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

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

$h = 6.7$

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