A popular tourist attractions Ottawa is the peace tower which rises from the Centre block of the parliament building. Describe at least one method that you could use to estimate the height of the peace tower. include a diagram and the measurement that you would need to make
One method to estimate the height of the peace tower in Ottawa is by using similar triangles and trigonometry.
First, find a location from where you can measure the distance to the base of the peace tower accurately. Let's call this point A. Then, go to a location where you can measure the angle of elevation to the top of the peace tower accurately. Let's call this point B.
Measure the distance from point A to the base of the peace tower. Let's call this measurement "x."
Using a clinometer or any other device that can measure angles, measure the angle of elevation from point B to the top of the peace tower. Let's call this angle "θ."
Construct a right triangle where point A is at the base, point B is at the top, and the line connecting A to B represents the line of sight.
Now, using trigonometry, we can use the tangent function to find the height of the peace tower.
tan(θ) = height of peace tower / x
Rearrange the equation to find the height of the peace tower:
height of peace tower = x * tan(θ)
To estimate the height, substitute the measured values of x and θ into the equation and calculate the result.
Diagram:
/|
/ |
/ θ | Height of peace tower
/_________|
x
Please note that this method is an estimation and may not give you the exact height of the peace tower.