Question

A man finds the angle of depression of a packed car to be 40 degree from floor 25m high in a high multi storey building.find the distance of car from the foot of the building and the man by using scale drawing

​

Answer 1

We can use trigonometry to solve this problem. Let's draw a diagram to visualize the situation:

```
A
|\
| \
| \
| \
| \
| \
| \
|40° \ C
| \
| \
| \
------------
25m
B
```

In this diagram, A represents the man, B represents the foot of the building, and C represents the packed car. The angle of depression from the man to the car is 40 degrees.

We want to find the distance of the car from the foot of the building (BC) and the distance of the man from the car (AC).

Let's start by finding BC. We can use the tangent function:

tan(40°) = BC / 25m

BC = 25m * tan(40°)

BC ≈ 22.96m

Therefore, the distance of the car from the foot of the building is approximately 22.96 meters.

Now let's find AC. We can use the sine function:

sin(40°) = AC / 25m

AC = 25m * sin(40°)

AC ≈ 16.07m

Therefore, the distance of the man from the car is approximately 16.07 meters.

Note that the scale of the drawing will affect the accuracy of these measurements. It is important to use an appropriate scale and make accurate measurements to obtain reliable results.