To find the distance d from a house in Miami Beach to a house on the Star Island, Mr. Marrero measures from the house on shore to point B, as shown in the diagram. An instrument called a transit is used to find the measure of angle B. Estimate the distance d.

d= 36.016m

Step-by-step explanation:

We have given angle B, the adjacent side, and we need the opposite side, we can use Tan to find d using angle B and the adjacent side.

Tan(42)=d/40

We multiply both sides with 40:

(40)Tan(42)=d

Use a calculator to find the final solution:

40(0.9004)=d

36.016=d

Note: 0.9004 is the solution to tan(42)

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