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2 years ago

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

Mathematics

1 answer:

padilas [110]2 years ago

5 0

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.

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

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