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.

the first one

step-by-step explanation:

just id the test.