Question

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

Answer 1

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

Answer 2

Tan(Angle) = Opposite leg / Adjacent leg

Tan(A) = 5/7

A = Arctan(5/7)

A = 35.54 degrees.