Question

A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth.

Answer 1

First draw a right triangle using the lighthouse as reference. Draw a dot (lighthouse) draw a line downward (south) with 2.2 km measurement. Next, draw a line to the right of the lighthouse (16.8 km)

The two legs are 2.2 km and 16.8 km. To complete the statement, we need to solve for the hypotenuse of the right triangle.

Using the Pythagorean Theorem:

Assign a = 2.2 km
b = 16.8 km

so,

c^2 = a^2 + b^2

2.2^2 + 16.8^2 = c^2

Therefore, the value of c is 16.94 km.