Question

You want to visit your friend, John, at his house. You leave your house and walk down Oak Street which is at an angle 45◦ from Elm Street which is the street in front of your house. After walking 6 blocks, you arrive at John’s house. How far is Oak Street from Elm Street? Round to the nearest tenth of a block.

Use SOH CAH TOA to find d.

Answer 1

4.2 blocks

Explanation:

Using SOH CAH TOA

Distance d can be obtained using :

SOH ;

Sin θ = opposite / hypotenus

Hypotenus = 6

Opposite = d

θ = 45°

Sin 45° = d / 6

0.7071067 * 6 = d

4.2426406 = d

Hence, distance d, Oak street to Elm street is = 4.2 blocks