Question

find uw.

(there is a right triangle vuw with right angle at u, angle at v is 46 degrees, and side vw is √71)

write your answer as an integer or as a decimal rounded to the nearest tenth.
uw =
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work it out
not feeling ready yet? these can help:
find trigonometric functions of special angles
multiply radical expressions
solve proportions
lesson: trigonometric ratios

Explanation:

Step1: Identify trigonometric ratio

$\cos(46^\circ) = \frac{UW}{WV}$

Step2: Substitute known values

$WV = \sqrt{71} \approx 8.426$, so $UW = \sqrt{71} \cdot \cos(46^\circ)$

Step3: Calculate the value

$\cos(46^\circ) \approx 0.6947$, so $UW \approx 8.426 \times 0.6947 \approx 6.9$

Answer:

6.9