A flagpole AB, of height 5.8 m, stands on top of a wall BC. ABC forms a straight line. The wall leans slightly so that it makes an angle of 96° with the horizontal ground CD. The angle of elevation of the top of the wall, B, from the point D is 38°. Given that BD is 27.3 m, calculate AD.

The answer is actually 31.6 m (3 s.f.). The correct process will be use the sine rule to find out BC and CD. Then find out the length of AC by adding AB (which is 5.8 m) and BC (16.9 m after working out). Then work out the angle of CAD, which will be 46 degrees. Then use the cosine rule on triangle ACD to dine out AD.

Step-by-step explanation:

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A flagpole AB, of height 5.8 m, stands on top of a wall BC. ABC forms a straight line. The wall leans slightly so that it makes an angle of 96° with the horizontal ground CD. The angle of elevation of the top of the wall, B, from the point D is 38°. Given that BD is 27.3 m, calculate AD.​

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A flagpole AB, of height 5.8 m, stands on top of a wall BC. ABC forms a straight line. The wall leans slightly so that it makes an angle of 96° with the horizontal ground CD. The angle of elevation of the top of the wall, B, from the point D is 38°. Given that BD is 27.3 m, calculate AD.