Question

The picture below shows a triangular coffee table ABC.



A carpenter plans to make two small triangular tables by cutting the big table along the line AD. What will be the length of the side BD of the table ABD?

48 cm

55.43 cm

67.89 cm

24 cm

Answer 1

@jim_thompson5910

Answer 2

@Hero

Answer 3

Hint: Use sohcahtoa

Answer 4

Solve for AB using 96cm and the 30 degree angle.
Solve for BD using AB and the 45 degree angle.

Answer 5

ok then what

Answer 6

Putting it all together:\[\text{BD}=96 \text{Tan}[30{}^{\circ}]\text{Cot}[45{}^{\circ}]=32 \sqrt{3}=55.4256 \]

Answer 7

yes

Answer 8

Thank you for the medal.

Answer 9

:)