Posted by Jackie on Monday, July 22, 2013 at 8:08pm.
A bird at the top of a tree looks down at a field mouse with an angle of depression of 65 degrees. If the field mouse is 30 meters from the base of the tree, find the distance from which the field mouse to the bird's eyes. Round the answer to the nearest tenth.

trig  Reiny, Monday, July 22, 2013 at 8:12pm
did you make a sketch of the rightangled triangle?
Remember the line of sight is parallel to the ground, and alternate angles are equal.
I have
tan 65° = h/30 , where h is the height of the tree
h = 30tan65 = 64.3 metres

trig  Anonymous, Tuesday, July 23, 2013 at 4:45am
I feel the question required not the ht of tree but distance between bird's eye and mouse which will be=hypoteneuse =30/cos65. May please check.
Answer This Question
Related Questions
 trig  A bird at the top of a tree looks down on a field mouse at an angle of ...
 trig  From the foot of a building i have to look upwards at an angle of 22 ...
 trig  Because of prevailing winds, a tree grew so that it was leaning 4 degrees...
 Math  Trig  From the foot of a building I have to look upwards at an angle of ...
 Math  Trig  From the foot of a building I have to look upwards at an angle of ...
 Math  A man looks up at the top of a tree. The angle of elevation is 42 degrees...
 Geometry  A man is sitting by a pool. He looks up at an angle of elevation of ...
 geometry  From the base of a hill , the angle of elevation is 23 degrees . The ...
 math  From a lookout tower 80 ft. high, a man observes from a position 6.5 ft. ...
 Math  Trigonomety  A plane is flying at a height of 1000 feet. A passenger on ...
More Related Questions