English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

a pine tree growing on a hillside makes a 75 degree angle with the hill. From a point 80 feet up the hill, the angle from the hillside to the top of the tree is 85 degrees. Find, to the nearest foot, the height of the tree.

PLEEEASE HEEELP

2006-10-11 10:38:37 · 2 answers · asked by Aric D 2 in Education & Reference Homework Help

2 answers

Set up simultaneous equations. One that express the 80 feet as two components one from the tree base to an imaginary line that is perpendicular to the hill and extends to the top (a), and the second from the point up the hill to the same line (b). The imaginary line has length d.
a + b = 80
then the angular components
tan 75 = d/a
tan 85 =d/b

Then solve for d:
a=80-b

(tan 75)*(80-b)=d
b= d/(tan 85)
(tan75)*(80-d/tan85)=d
(tan75*80)/(1+tan75/tan80)=d

d=225 feet

and use Sin (75)=d/h where h is the tree height
h=225/sin(75)

h=233 feet
j

2006-10-11 10:56:26 · answer #1 · answered by odu83 7 · 0 0

you're suited on your technique. yet magnitude of a is eighteen/4.9 = 3.sixty seven m/s^2 ============================= on the spot potential = F*V(on the spot) = F*vf = ma*at = 1500*(18/4.9)*(18/4.9)*2 =40483 W --------------------------------------.....

2016-10-19 05:36:15 · answer #2 · answered by ? 4 · 0 0

fedest.com, questions and answers