Question

How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from

yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer

Manatee Springs

Elephant

House

3,500 yds

- 200 yds

Tran Depot

2000

Bird Sanctuary

Main Gate

(SHOW WORK)

Answer 1

6.04 km

Explanation:

From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.

Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

`(3500\ yards)/(2000\ yards) = (4200\ yards)/(x)\\ x= (4200\ yard*2000\ yards)/(3500\ yards)=2400\ yards`

x = 2400 yards.

The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards

The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km

The distance from the main gate to Manatee Springs = 6.04 km