In ΔBCD, the measure of ∠D=90°, the measure of ∠C=77°, and CD = 41 feet. Find the length of BC to the nearest foot.

Step-by-step explanation:

For this exercise you need to use the following Trigonometric Identity:

Observe the Right triangle BCD given in the exercise. You can identify that, in this case:

Knowing these values, you can substitute them into  , as below:

The next step is to solve for "x" in order to find its value:

Finally, rounded the result to the nearest foot, you get that this is:

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step-by-step explanation:

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