Question

In a right triangle, if <0 = 53 and the side opposite to `/_θ` is equal to 2.3 meters, what is the approximate length of the hypotenuse?

Answer 1

Answer

2.8799

Explanation

θ = 53°

Opposite length to angle θ = 2.3 m

sinθ = opposite / hypotenuse

sin53 = 2.3/hypotenuse

hypotenuse = 2.3/sin53

                    = 2.3/0.7986

                     = 2.8799 m

Answer 2

Answer:

The approximate length of the hypotenuse is 2.88 meters.

Step-by-step explanation:

It is given that in a right angled triangle, ${\theta}=53^{\circ}$ and teh side opposite to ${\theta}$ is 2.3 meters, then using the trigonometry, we have

$\frac{AB}{AC}=sin53^{\circ}$

Substituting the given values, we have

$\frac{2.3}{x}=sin53^{\circ}$

⇒${\frac{2.3}{x}}=0.798$

⇒$x=\frac{2.3}{0.798}$

⇒$x=2.88 meters$

Thus, the approximate length of the hypotenuse is 2.88 meters.