Question

Find angle A in the following triangle.

A. 35.54
B. 35.67
C. 36.24
D. 36.77

Answer 1

A. 35.54

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

Answer 2

Tan(Angle) = Opposite leg / Adjacent leg

Tan(A) = 5/7

A = Arctan(5/7)

A = 35.54 degrees.