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4 years ago

Find angle A in the following triangle. A. 35.54 B. 35.67 C. 36.24 D. 36.77

Mathematics

2 answers:

andreev551 [17]4 years ago

8 0

Answer:

A. 35.54

Step-by-step explanation:

To find the angle A in the diagram above, we will simply use angle formula, we will check and see which angle formula will be best fit to use.

The formulas are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cos Ф = adjacent / hypotenuse

tan Ф = opposite / adjacent

Looking at the figure given, since we are to find angle A, then our adjacent is 7 and the opposite is 5.

since we are given both opposite and adjacent, then the best formula to use for this is tan Ф

tan Ф = opposite / adjacent

opposite = 5 and adjacent =7

we will go ahead and insert our values

tan A = 5/7

tan A = 0.71429

To get the value of tan A, we will simply take the $tan^{-1}$ of both-side

$tan^{-1}$ tan A = $tan^{-1}$ 0.71429

A = 35.54

Therefore angle A is 35.54

BartSMP [9]4 years ago

3 0

Tan(Angle) = Opposite leg / Adjacent leg

Tan(A) = 5/7

A = Arctan(5/7)

A = 35.54 degrees.

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This question is incomplete without an attachment; here is the attachment enclosed with the answer.

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