the angle of depression from the top of a building of a height 35m of a station any car is 42degrees. find the distance between the car and the top of the building
the hypotenuse is the distance
sin 42 = 35 / hypotenuse
To find the distance between the car and the top of the building, we can use trigonometry. The given angle of depression indicates that we are looking down from the top of the building to the car, forming a right triangle. The height of the building represents the opposite side, and the distance between the car and the building is the adjacent side.
Let's use the tangent function, which is defined as the ratio of the opposite side to the adjacent side in a right triangle.
Let's assume the distance between the car and the top of the building is represented by "x."
We can set up the equation as follows:
tan(42°) = 35m / x
Now, we can solve for x by rearranging the equation:
x = 35m / tan(42°)
Using a scientific calculator, calculate the tangent of 42 degrees and divide 35 meters by the result to find the value of x.
After performing the calculation, the distance between the car and the top of the building is approximately equal to the calculated value of x.