Question

NO LINKS!!

Finding the Width of a Gorge: Find the distance from A to C across the gorge illustrated in the figure. ​

Answer 1

`\\ \rm\rightarrowtail cot35=(Base)/(Perpendicular)`

`\\ \rm\rightarrowtail cot35=(BC)/(AC)`

`\\ \rm\rightarrowtail cot35=(100)/(AC)`

`\\ \rm\rightarrowtail AC=(100)/(1.43)`

`\\ \rm\rightarrowtail AC=69.93ft`

Answer 2

70.02ft≈70ft

Explanation:

Here,

∠ABC=35°

BC=100ft

AC=?

Now,

`tanB=(AC)/(BC) \\\\`
`tanB=(AC)/(BC) \\\\tan35=(AC)/(100ft) \\\\0.7002=(AC)/(100ft) \\\\100ft*0.7002=AC\\\\AC=70.02ft`

Because tan=p/b