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Pavel [41]
3 years ago
8

PLEASEEEEEE HELPPPPP In right triangle ABC, ∠C is a right angle, m∠B=70∘, and AB=13.

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

4.42

Step-by-step explanation:

Data obtained from the question include the following:

Angle θ = 70°

Hypothenus = AB = 13

Adjacent = BC =?

Sin 70° ≈ 0.94

Cos 70° ≈ 0.34

Tan 70° ≈ 2.75

Next, we shall determine the measurement of BC as follow:

Since we are to obtain the adjacent, we shall use the following equation:

Cos θ = Adjacent /Hypothenus

Cos 70° = BC /13

0.34 = BC /13

Cross multiply

BC = 0.34 x 13

BC = 4.42

Therefore, the measurement of BC is 4.42

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In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85

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