+0  
 
0
64
1
avatar+1898 

question 1)

 Mar 19, 2020
 #1
avatar+111360 
+2

This one is a little difficult

 

Call Pierre's height above the ground, H

 

Call the  distance from the base of the bldg to the sports car, D

 

So...we have this relationship

 

tan 21°  = H / D    ⇒     D tan 21°  =  H     (1)

 

Next.....call the distance from the  base of the bldg to the  dump truck = D + 600

 

So  we have this

 

tan 14°  =   H  / (D + 600)       sub (1)  in for H

 

tan14°   =  ( D tan21° )  / (D + 600)       rearrange as

 

D tan 14° + 600 tan 14°  = D tan 21°

 

600 tan 14°  =   D ( tan 21° - tan 14°)

 

[ 600 tan 14° ]  / [ tan 21° - tan 14°]  =  D  = 1112 ft

 

Sub this back into (1)  to find H  = 1112 tan 21° ≈  426.86 ft

 

GOOD JOB, JENNY   !!!!!

 

 

cool cool cool

 Mar 19, 2020

33 Online Users

avatar
avatar
avatar
avatar