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naiajNan
06.11.2020 •
Mathematics
If answer is correct i give brainliest
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Ответ:
Ответ:
the distance from point C to D is 7.75m
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo
A vertical flagpole, AB,has a height of 46m. The points B, C and D lie on level ground, and BCD is a straight line Point C is 21 m from the base of the flagpole. The angle of elevation of the top of the flagpole from point D is 58 degrees
How far apart are points C and D?
My
Given the infomation:
AB: 46mBCD is a straight lineBC = 21mIn triangle ABD, with angle of elevation from D to top of flag pole is 58 degrees.
<=>![\tan \theta =\frac{perpendicular}{base}](/tpl/images/0644/1135/f56df.png)
<=> tan(58) =![\frac{AB}{BD}](/tpl/images/0644/1135/9bcc1.png)
<=> BD =![\frac{AB}{tan(58)}](/tpl/images/0644/1135/af822.png)
<=> BD =![\frac{46}{1.6}](/tpl/images/0644/1135/a90cd.png)
<=> BD = 28.75
From the figure:
BD = BC + CD
<=> CD = BD - BC
<=> CD = 28.75 - 21 = 7.75m
So the distance from point C to D is 7.75m