Question

offering BRAINLIEST if i can for this question - it's in the picture provided and none of the answers i have seem right.

Answer 1

Answer:

0.276m

Step-by-step explanation:

we use SOH CAH TOA as our guide steps

since it connects the Hypotenuse = 3.17 and opposite which is the unknown(h) we will use SOH

$sinθ = \frac{opposite}{hypotenuse}$

$sin5° = \frac{h}{3.17}$

cross multiply

h = Sin 5° × 3.17

h = 0.0871 × 3.17

h = 0.276m

i hope this helped

Answer 2

Answer:

h = 0.28 m (2 d.p.)

Step-by-step explanation:

$\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\ \sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A} \\\\where:\\ \phantom{ww} \bullet \theta is the angle. \\ \phantom{ww} \bullet \sf O is the side opposite the angle. \\\phantom{ww} \bullet \sf A is the side adjacent the angle. \\\phantom{ww} \bullet \sf H is the hypotenuse (the side opposite the right angle). \\\end{minipage}}$

From inspection of the given right triangle:

• θ = 5°
• O = h
• H = 3.17

Therefore, substitute the given values into the sin trigonometric ratio and solve for h:

$\implies \sin \theta=\sf \dfrac{O}{H}$

$\implies \sin 5^{\circ}=\dfrac{h}{3.17}$

$\implies 3.17\sin 5^{\circ}=h$

$\implies h=3.17\sin 5^{\circ}$

$\implies h=0.27628370...$

$\implies h=0.28\; \sf m \; (2\;d.p.)$