Calculate one decimal place the angle of elevation of the top of a flag pole 45m high from a point 55m away from the base of the flag
pole
45/55=tan( x ), you can do the next part :)
TanA = Y/X = 45/55
A = 39.3 deg.
To calculate the angle of elevation of the top of a flagpole, you need to use the trigonometric function tangent (tan). The formula for calculating the angle of elevation is:
θ = arctan(height / distance)
In this case, the height of the flagpole is 45m and the distance from the base of the flagpole to the point is 55m. Therefore, plugging in the values, we get:
θ = arctan(45/55)
To find the angle in degrees, you can use a scientific calculator. Follow these steps:
1. Press the "arctan" or "tan^-1" key on your calculator.
2. Enter the ratio of the height to the distance (45/55) and press the "equals" (=) key.
3. The result will be the angle in radians.
4. To convert the angle to degrees, multiply the result by (180/π). The π symbol represents Pi, which is approximately 3.14159.
For example, using a scientific calculator:
arctan(45/55) ≈ 39.805°
Therefore, the angle of elevation of the top of the flagpole from the point is approximately 39.8° (rounded to one decimal place).