A ranger spots a forest fire while on a 30-meter observation tower. The angle of depression from the tower to the fire is 20 degrees to the nearest meter how far is the fire from the base of the tower

Question

anonymous · Answer

hmm let me go get my notes

anonymous · Answer

Okay

anonymous · Answer

so this is your equation now$$\tan (20) = 30/x$$

anonymous · Answer

so its .36 and now you want ot multiply both sides by x
$$.36(x)=30/x *x $$

this crosses out the x on the right.. now you're going to want to put the .36 on the right and leave x by its own

travisbrown372 · Answer

tan 27 = 40 / x x = 40 / tan 27 x = 78.5 or 79 meters So the answer is C. The fire is 79 meters away from the observation tower.

anonymous · Answer

so you're going to divide both sides by .36
$$.36x/.36 = 30/.36$$


$$x= 30/.36$$

anonymous · Answer

all you have to do is 30/.36 which turns out to be 83.3 so it will 83.3 feet

anonymous · Answer

Thank you for explain the problem I've been stuck on it for awhile

anonymous · Answer

i can find you a website ifyou'd like

anonymous · Answer

http://www.mathsteacher.com.au/year10/ch15_trigonometry/12_elevation_depression/23elevdep.htm