Question

you're my teacher asked you to calculate the height of the goal post on the football field. you and your partner gather the measurements shown. find the height of the top of the couple's, rounded to the nearest tenth of a foot.

Answer 1

In triangle ABC,

`\begin{gathered} \tan 74^(\circ)=(AB)/(BC) \\ \tan 74^(\circ)=\frac{AB}{12\text{ ft}} \\ AB=12\tan 74^(\circ)\text{ ft} \\ AB=41.84\text{ ft.} \end{gathered}`

The height of the top of the goal post can be determined as,

`\begin{gathered} h=6\text{ ft+AB} \\ =6\text{ ft+41.84 ft} \\ =47.84ft \end{gathered}`

Thus, the required height to the nearest tenth is 47.8 ft.