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Travka [436]
3 years ago
15

What is the measure of angel A rounded to nearest whole number ?

Mathematics
2 answers:
snow_lady [41]3 years ago
4 0
Use inverse cosine here because you have the side adjacent to angle A and the hypotenuse.  On your calculator, press the 2nd key then cosine to see this on your display cos^{-1} then enter 8/17 to give you an angle measure of 62 degrees.
trasher [3.6K]3 years ago
3 0

Answer:

D. 62 degrees

Step-by-step explanation:

Here, ABC is a right angles triangle,

In which,

AB = 8 units,

AC = 17 units,

∠B = 90°,

By the pythogorous theorem,

AC^2=AB^2+BC^2

17^2=8^2+BC^2

289=64-BC^2

225=BC^2

\implies BC=15\text{ unit}

By the law of sine,

\frac{sin A}{BC}=\frac{sin B}{AC}

\frac{sin A}{15}=\frac{sin 90^{\circ}}{17}

sin A = \frac{15}{17}

\implies A= 61.9275^{\circ}\approx 62^{\circ}

Hence, the measure of angle A is 62 degrees,

Option D is correct.

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===============================================

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