In ΔABC, the measure of ∠C=90°, the measure of ∠A=49°, and BC = 5.1 feet. Find the length of AB to the nearest tenth of a foot.

Given:

In ΔABC, the measure of ∠C=90°, the measure of ∠A=49°, and BC = 5.1 feet.

We need to determine the length of AB

Length of AB:

The image of the triangle ABC is attached below.

Using the figure, we shall determine the length of AB by the trigonometric ratio.

Thus, we have;

where , and

Thus, we have;

Substituting BC = 5.1, we get;

Simplifying, we have;

Dividing, we get;

Rounding off to the nearest tenth, we get;

Thus, the length of AB is 7.8 feet.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

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step-by-step explanation: