3 years ago

If tan fº = 2/1 and the measure of yw is 8 units, what is the measure of xw?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

5 0

*see attachment for the figure referred to

Answer:

4 units

Step-by-step explanation:

Given that $tan(f) = \frac{2}{1}$ , therefore, it follows that:

$tan(f) = \frac{opp}{adjacent} = \frac{YW}{XW} = \frac{8}{XW}$ ,

If the ratio of YW to XW = 2:1, therefore, $\frac{2}{1} = \frac{8}{XW}$

Cross multiply to find XW

$XW*2 = 8*1$

$XW = \frac{8}{2} = 4 units$

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