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Find the length of FV¯¯¯¯¯¯¯¯ A. 72.47 B. 77.71 C. 49.42 D. 56.84

Find the length of FV¯¯¯¯¯¯¯¯ A. 72.47 B. 77.71 C. 49.42 D. 56.84-example-1
User Milind
by
4.5k points

2 Answers

4 votes

Answer:

FV=72.47

Explanation:

cos43=adj/hyp.=VT/FV

cos43=53/FV

FV=53/cos43

FV=72.46835= 72.47 rounded to the nearest hundredth

User Chakroun Yesser
by
4.5k points
7 votes

Answer:

The answer is option A

Explanation:

Since it's a right angled triangle we can use trigonometric ratios here.

To find FV we use cosine

cos∅ = adjacent / hypotenuse

From the question

FV is the hypotenuse

TV is the adjacent

So we have

cos 43 = TV/FV

FV = TV/ cos 43

TV =53

FV = 53/ cos 43

FV = 72.4683

We have the final answer as

FV = 72.47

Hope this helps you

User H S Rathore
by
4.0k points