Find all the missing sides and angles of this triangle,

Mathematics

1 answer:

iren2701 [21]2 years ago

8 0

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

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Find the area of the triangle with the given measurements. A = 48°, b = 30 ft, c = 14 ft

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Answer:

156.06 ft²

Step-by-step explanation:

The applicable formula for the area of the triangle is ...

Area = (1/2)bc·sin(A)

Filling in the given numbers, you have ...

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_____

Sufficient digits are provided here so that you can round to the precision you (or your computer) may desire.

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