7m long flagstaff is fixed on tower standing on horizontal plain .
Frm a point on the ground angle of elevation of top and bottom of flag staff are 60 and 40 find height of tower
Draw a diagram. You will see that
h cot40° = (h+7) cot60°
To find the height of the tower, we need to use trigonometric principles.
Let's start by drawing a diagram to represent the situation described.
First, draw a vertical line to represent the tower. Label the height of the tower as 'h'. Then, draw a horizontal line to represent the ground.
Now, let's focus on the flagstaff. Draw a line from the top of the flagstaff to the ground, forming a right triangle between the flagstaff and the ground.
Label the length of the flagstaff as '7m'. We are given two angles of elevation: 60 degrees for the top of the flagstaff and 40 degrees for the bottom of the flagstaff.
Using trigonometry, we can find the height of the tower by applying the tangent function to the angle of elevation.
Tan(60 degrees) = h / 7m (opposite/adjacent)
Simplifying the equation, we have:
√3 = h / 7m
To isolate 'h' (height of the tower), we can multiply both sides of the equation by 7m:
√3 * 7m = h
Therefore, the height of the tower is given by:
h = 7√3 meters