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slega [8]
3 years ago
9

If b=33.2 and B=61° find a (picture provided)

Mathematics
2 answers:
kow [346]3 years ago
6 0

For this case we have to, by definition:

tg (B) = \frac {33.2} {a}

This means that the tangent of angle B will be equal to the leg opposite the angle on the leg adjacent to the same angle.

Then, clearing to have:

a = \frac {33.2} {tg (61)}\\a = \frac {33.2} {1.80404776}\\a = 18.403060

Rounding out the value of a we have:

h = 18.4

Answer:

Option C

tiny-mole [99]3 years ago
5 0

Answer:

The correct answer is option c.  18.4

Step-by-step explanation:

Points to remember:-

<u>Trigonometric ratio </u>

Tan θ = Opposite side/Adjacent side

From the figure we can see a right triangle triangle ABC

<u>To find the value of a</u>

It is given that, b=33.2 and B=61°

Tan 61 = opposite side/Adjacent side

Tan 61 = b/a

a = 33.2/Tan 61 = 18.4

Therefore the correct answer is option c.  18.4

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