Question

One of the Ekati mine’s pipes,

called the Panda pipe, has
northern and southern gates.
A communications tower
stands 100 m outside the north
gate. The tower can be seen from
a point 300 m east of the south
gate at camp A.
a) The distance between
camp A and camp B is 600 m.
Calculate the diameter
of the Panda pipe.
b) Calculate the distance from
camp B to the tower.

Answer 1

To calculate the diameter of the Panda pipe, set up a proportion using the distances between the camps and the tower. To find the distance from camp B to the tower, use the Pythagorean theorem.

Step-by-step explanation:

To calculate the diameter of the Panda pipe, we need to use the concept of similar triangles. Given that the distance between camp A and camp B is 600 m and that the distance from camp A to the tower is 300 m, we can set up a proportion:

(diameter of Panda pipe)/(distance from camp A to tower) = (distance between camp A and camp B)/(distance from camp B to tower)

By solving this proportion, we can find the diameter of the Panda pipe.

To calculate the distance from camp B to the tower, we can use the Pythagorean theorem. Since we know the distance from camp A to the tower and the distance between camp A and camp B, we can subtract the known distance from the total distance to find the distance from camp B to the tower.