The angle of elevation of the top of a tree from a point 27m...
The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30o. Find the height of the tree.
A.
27m
B.
13.5 √3m
C.
13.5 √2m
D.
9√3m
Correct answer is D
From the diagram,
tan 30o = h27
h = 27 tan 30o
= 27 x 1√3
= 27√3 x √3√3
= 27√33
= 9√3m
Similar Questions
Find the gradient of the line passing through the points (-2, 0) and (0, -4)...
Solve for (x, y) in the equation 2x + y = 4: x^2 + xy = -12...
Write as a single fraction: 56r−34r...
find the mean deviation of 1, 2, 3 and 4 ...
A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Fin...
List the integral values of x which satisfy the inequality -1 < 5 - 2x ≥ 7...