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

the distance from point C to D is 7.75m

Step-by-step explanation:

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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:

In triangle ABD, with angle of elevation from D to top of flag pole is 58 degrees.

<=>

<=> tan(58) =

<=> BD =

<=> BD =

<=> 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