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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.

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 fro class=

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akposevictor

Answer:

4.2 blocks

Step-by-step explanation:

Reference angle (θ) = 45°

Opposite side to θ = d

Hypotenuse = 6

Using SOHCAHTOA, we would apply SOH since the Hypotenuse and Opposite side is what we are concerned with.

Thus:

Sin θ = Opp/Hyp

Substitute

Sin 45° = d/6

Multiply both sides by 6

6 × Sin 45 = d

d = 4.24264069

d = 4.2 (nearest tenth)

Therefore, the distance of Oak Street from Elm Street = 4.2 blocks

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