Charlene made the sketch below in order to find the height x of a pole. She positioned a mirror on the ground so that she could see the reflection of the top of the pole. Her height, her distance from the mirror, and her line of sight to the mirror determine the smaller triangle. The pole’s height, its distance from the mirror, and the distance from the top of the pole to the mirror form a larger similar triangle. Find the height of the pole to the nearest tenth
22ft
(distance of pole frm the mirror/distance of grl frm mirror)* height of girl
charlene made the sketch below in order to find the height x of a pole. she positioned a mirror on the ground so that she could see the reflection of the top of the pum could see the reflection of the top of the pole. her hat her distance from the mirror in her line of sight to the mirror determine the smaller triangle. the poles height, its distance from the mirror and The distance from the top of the pole to the Mayor form A large similar triangle. find the height of the pole to the nearest tenth. 5.5ft 3ft 12ft pole x
To find the height of the pole, we need to use similar triangles and apply the properties of similar triangles.
Let's label the given measurements in the sketch:
- Charlene's height: h1
- Charlene's distance from the mirror: d1
- Distance from the top of the pole to the mirror: d2
We can set up the following proportion using the similar triangles:
h1 / d1 = x / d2
Solving for x, we can rearrange the equation:
x = (h1 * d2) / d1
Since we are given the values for h1, d1, and d2, we can substitute those values in the equation and calculate the height x of the pole.
Alternatively, if the values for h1, d1, and d2 are not provided, you would need to determine their measurements first before proceeding with the calculation.