Algebra diagram/math?

becky

suppose you climb a tree to a point 125 ft abouve the ground. You look down from the tree across the forest floor at a 52 degree angle of depreeion only to see a grizzly bear. how far is the bear from the bace of the tree. please show all work. make diagram and show trigonometric work and steps

tomv

If the angle of depression from you to the grizzly is 52°, the angle of elevation from the grizzly to you is also 52°. Using the definition of tan(Θ) = y/x where y = 125 and you are trying to calculate x:

x = 125/tan52° = 97.66 ft

(Guide4u has misinterpreted the angle. The angle between the tree and the line of sight is 38°. The angle between the line of sight and the ground is the same as the angle between the line of sight and the horizon, 52°)

khalid

Well Becky! we'll proceed as follows: -

Here, the given situation makes a right angled triangle. Height of the tree is the perpendicular (125ft), The line joining the viewer on the tree and the bear is the hypotenuse, and the distance between the bear and the base of the tree is the Base of the right angled triangle. The angle made by the hypotenuse at the ground is 90 - 52 = 38 degrees.

Now, from the basic ratios, we know that

Tangent of theta = Perpendicular / Base

Tan 38 = 125 / Base

Base = 125/Tan 38

= 125 / 0.78

=160.256 ft

So, the bear is at a distance of 160.25 ft from the base of the tree.

Hope it would suffice, for more guidance [email protected]

longinotti

Do your Venn diagram. you will be sure what p.c. of scholars did purely one concern. Like for A, fifty 4 did A, yet of those 32 p.c. did a 2d concern. regardless of the undeniable fact that, of the 32 p.c., 5 p.c. are in AUBUC, so while the smoke clears 27 p.c. did A purely. Now, we hit upon the scholars who did diverse problems purely. In set notation, we choose [AUB+BUC+AUC-3xAUBUC]. Doing all this A is 27, B=21, C=4 and multiples=34. something or 14 did no problems.