Tuesday

March 31, 2015

March 31, 2015

Posted by **alex** on Tuesday, July 19, 2011 at 11:01am.

- algebra -
**Henry**, Tuesday, July 19, 2011 at 3:55pmWe need to form 2 rt triangles with a common ver. side.

First, draw a rectangle with the long

side parallel to the x-axis. Then draw

a diagonal from the lower Lt corner to

the upper rt corner. This is the hyp

of the larger triangle. From a point near the center of the hor side, draw

another hyp to the upper rt corner. This is the hyp of the smaller

triangle.

The angle bet. the hyp of larger tri-

angle and hor is 40 deg. The 60-degree

angle is bet hyp and hor of smaller triangle.

The dist. bet. the 2 hyp is 200 ft Label the remaining dist. X ft and the

ver side is h for ht of tree.

Width = 200 + X.

tan60 = h/x,

h = xtan60.

tan40 = h/(200+x),

h = (x+200)tan40.

xtan60 = (x+200)tan40,

xtan60 = xtan40 + 200tan40,

xtan60 - xtan40 = 200tan40,

1.732x - 0.8391x = 167.82,

0.8929x = 167.82,

X = 188.

Width = 200 + 188 = 388 Ft.

**Answer this Question**

**Related Questions**

trigonometry - kindly help, needed badly - From a point on the bank of a stream,...

maths - a river is 60 metre wide . a tree of unknown height is one bank.the ...

Trigonometry (Math) - From a point 5m. above the water surface, the angle of ...

Alg/Trig - The angle of elevation from a point on the ground to the top of a ...

Math - 1. A rangers tower is located 44m from a tall tree. From the top of the ...

trigonometry - a surveyor finds that from Point A on the ground the angle of ...

dgh - Two Trees are 150 m apart. From a point halfway between them, the angle ...

Mathematics - A tree is "x"meters high. The angle of elevation of its top from a...

Precalculus - From a point on ground level, you measure the angle of elevation ...

Trigonometry - While camping by the Merced River in Yosemite Valley, a group of ...