Find angle A in the following triangle. A. 35.54 B. 35.67 C. 36.24 D. 36.77
2 answers:
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 of both-side
tan A =
0.71429
A = 35.54
Therefore angle A is 35.54
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