The angle of elevation of an object from a point on the level ground is . Moving meters on the ground towards the object, the angle of elevation is found to be . Then, the height (in meters) of the object is
Step 1: Given data:
The angle of elevation of an object from a point on the level ground is
The angle of elevation after moving meters on the ground towards the object is found to be
Step 2: Draw the required diagram:
Note that from the figure the height of the object
The angle
The distance
Step 3: Formula used in the right-angle triangle .
Step 4: Calculate the height of the object:
Note that from the right-angle triangle,
In the ,
Now in the right-angle triangle ,
Now substitute the equation (1) from (2).
Therefore the height of the object .
Hence, the correct option is D.