Given the distance of a point on ground (say P) from the bae of a tree (say XY) = 55 feet.
Given the angle from ground level (point P) to the top of the tree (X) = 34°
Let's assume the height of tree (XY) = 'h' feet.
We have a Right triangle ΔXYP where ∡Y=90° and YP = 55 feet.
Using Trigonometric ratios in right triangle ΔXYP:-
Tan (34°) =
h = 55 × 0.6745 = 37.0979 feet
So, height of the tree = 37.1 feet.
Answer:
{12,2}
Step-by-step explanation:
From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).
If initial point of a vector is and terminal point is
, then
Using this formula, we get
Using braces, we get
Therefore, the required vector is {12,2}.
The arc length, radius and the included angle are related as
where
is in radians.
The radius is given by
Correct choice is (B).