web2.0calc
 
+0  
 

 set up!

0
916
2
avatar

Derrick is visiting the San Jacinto State Park outside Houston, Texas. The angle of elevation for his line of sight to the top of the San Jacinto Column is 75°. If the column is 570 feet tall and Derrick’s eyes are 6 feet from the ground, how far is he from the base of the column to the nearest foot?

 

would it be sin75=570-6

sin75=x/564?
 

 Jun 1, 2014

Best Answer 

 #1
avatar+28 
+5

What you're looking for is the length of the adjacent side.  Given the opposite side is 564, and tan=opp/adj.

Let x=adj

then tan(75)=564/x.     Multiply both sides by x

xTan(75)=564               Divide both sides by tan(75)

x=564/tan(75)

 

triangle showing Opposite, Adjacent and Hypotenuse

 Jun 1, 2014

2+0 Answers

 #1
avatar+28 
+5
Best Answer

What you're looking for is the length of the adjacent side.  Given the opposite side is 564, and tan=opp/adj.

Let x=adj

then tan(75)=564/x.     Multiply both sides by x

xTan(75)=564               Divide both sides by tan(75)

x=564/tan(75)

 

triangle showing Opposite, Adjacent and Hypotenuse

TaviSage Jun 1, 2014
 #2
avatar
0

It would be tan75=564/x

 Jun 1, 2014

0 Online Users

Top Users

avatar+128564 CPhill moderator
avatar+118608 Melody moderator
avatar+33616 Alan moderator
avatar+14923 asinus moderator
avatar+9545 MaxWong
avatar+3144 admin administrator
avatar+2440 GingerAle
avatar+1791 tomtom
avatar+1679 wiseowl
avatar+1588 bader
avatar+1117 parmen

Sticky Topics