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
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)