Math

posted by .

David the monkey is looking down at a 33° angle from the top of a tree. There are bananas on the ground 42.7 ft from the base of the tree. If David flies down from the tree in a diagonal path, as shown in the diagram, what distance would he travel? Round to the nearest tenth.

  • Math -

    We form a rt. triang:
    X = 42.7 Ft = Hor. side.
    Y = Ht of tree = Ver. side.
    Z = Diag. = Hyp.
    A = 33 Deg. = Angle bet. hyp and gnd.

    Z = X/cosA = 42.7 / cos33 = 50.9 Ft. =
    Dist .traveled.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths

    A tree stands vertically on a hill side which makes an angle of 15 degree with the horizontal. From a point on the ground 35 meter down the hill from the base of the tree, the angle of elevation of the top of the tree is 60 degree. …
  2. CST GEOMETRY

    a tree is situated on level ground from a point 135 feet from the base of the tree the measure of the angle of elevation from the ground to the top of the tree is 43 degrees which is the height of the tree to the nearest foot?
  3. geometry

    can someone please show me the answer for this problem ?
  4. math

    From 70 feet away from the base of a tree on level ground, the angle to the top of a tree is 60⁰. What is the height of the tree?
  5. Math - Trig

    From the foot of a building I have to look upwards at an angle of 22° to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50° to look at the top …
  6. Math - Trig

    From the foot of a building I have to look upwards at an angle of 22degrees to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50degrees to look at …
  7. geometry

    Ralph the monkey is looking down at a 31° angle from the top of a tree. There are bananas on the ground 12.4 ft from the base of the tree. If Ralph flies down from the tree at a diagonal path, shown in the diagram by x, what distance …
  8. Geometry

    at 10 feet away from the base of a tree, angle the top of a tree males with the ground is 61 degrees. of the tree grows at an angle of 78 degress with the respect to the ground, how tall is the tree to the nearest foot?
  9. math

    The trunk of a leaning tree makes an angle of 12 degrees with the vertical. To prevent the tree from falling over, a 35.0 m rope is attached to the top of the tree and is pegged into level ground some distance away. if the tree is …
  10. Trigonometry

    A TREE STANDS ON HORIZONTAL GROUND. THE ANGLE OF ELEVATION OF THE TOP OF THE TREE FROM A POINT 50 m AWAY FROM THE BASE OF THE TREE IS 11.3°. CALCULATE THE HEIGHT OF THE TREE.

More Similar Questions