3 years ago

Find the measure of angle X in the triangle below.

1 answer:

5 0

Use the Law of Sines to solve.

24/Sin 67.38 = 26/Sin X
Cross multiply
26Sin 67.38 = 24SinX
Divide both sides by 24
(26Sin67.38)/24 = Sin X
Use Sin^-1 to find the angle measure.
Sin^-1 [(26Sin67.38)/24]
x = 89.92 degrees

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Given that y= 12 cm and θ= 24 °, work out x rounded to 1 DP.<br><br> (not drawn to scale.)

padilas [110]

Answer:

$\huge\boxed{\sf x = 5.3}$

Step-by-step explanation:

<h3><u>Given:</u></h3>

y = 12 cm

θ = 24°

Using trigonometric ratio, tan.

$\displaystyle \boxed{tan \theta = \frac{opposite}{adjacent} }\\\\tan \ 24 = \frac{x}{12} \\\\0.445 = \frac{x}{12} \\\\Multiply \ 12 \ to \ both \ sides\\\\0.445 \times 12 = x\\\\5.3 = x\\\\x = 5.3\\\\\rule[225]{225}{2}$