Question

Find the angle of elevation of the top of a flag staff 31.9m high from a paint 55m away on the level ground and from the top of a building 10m high, the angle of depression of a car is 55.calculate the distance of the car from the foot of the building to the nearest whole meter

Answer 1

To find the angle of elevation of the top of the flagstaff, we can use the formula:

angle = arctan(height / distance)

angle = arctan(31.9 / 55)
angle ≈ 31.1 degrees (to the nearest whole degree)

Now, to find the distance of the car from the foot of the building, we can use the formula:

distance = height / tan(angle)

distance = 10 / tan(55)
distance ≈ 6.3 meters (to the nearest whole meter)