the L and C State building is 1,250 m tall. What is the angle of elevation of the top from a point on the ground 1,760 m from the base of the building?
Let the angle of elevation of the top of the building from a point 1,760 m from the base of the building be P degree.
Then, tan P = 1250/1760 = 0.71 tan 36 degrees
Hence, the angle of elevation is 36 degrees.
Let the angle of elevation of the top of the building from a point 1,760 m from the base of the building be P degree.
Then, tan P = 1250/1760 = 0.71 = tan 36 degrees
Hence, the angle of elevation is 36 degrees.
To find the angle of elevation of the top of the L and C State building, we can use trigonometry. The angle of elevation is defined as the angle between the line of sight from an observer to an object and the horizontal ground.
We can use the tangent function to calculate the angle of elevation.
The tangent of an angle is equal to the opposite side divided by the adjacent side.
In this case, the opposite side is the height of the building (1,250 m) and the adjacent side is the distance from the base of the building to the observer (1,760 m).
So the equation becomes:
tan(angle) = (opposite) / (adjacent)
tan(angle) = 1,250 m / 1,760 m
To find the angle of elevation, we need to take the inverse tangent (arctan) of both sides:
angle = arctan(1,250 m / 1,760 m)
Using a calculator, we can find the angle of elevation to be approximately 35.62 degrees.
Therefore, the angle of elevation of the top of the L and C State building from a point on the ground 1,760 m from the base of the building is approximately 35.62 degrees.
To find the angle of elevation, we can use trigonometry. The angle of elevation is the angle between the ground and the line of sight to the top of the building.
First, let's draw a right triangle with the height of the building as the vertical side (opposite side), the distance from the base of the building to the observation point as the horizontal side (adjacent side), and the hypotenuse as the line of sight to the top of the building.
The height of the building (opposite side) is 1,250 m, and the distance from the base of the building to the observation point (adjacent side) is 1,760 m.
Using the tangent function, we can calculate the angle of elevation:
tangent(angle) = opposite side / adjacent side
Let's substitute the values:
tangent(angle) = 1,250 m / 1,760 m
Now, we need to solve for the angle. To do this, we can take the inverse tangent (arctan) of both sides:
angle = arctan(1,250 m / 1,760 m)
Using a calculator, you can find the arctan of the ratio:
angle ≈ 37.34 degrees
So, the angle of elevation of the top of the building from the observation point is approximately 37.34 degrees.