<span>"AB=BC" Meaning this is an isoceles triangle
Thus </span>∠C is an angle Identical to ∠A
And given the rule of thumb; "every angle on a triangle. must add up to 180°"
∠A + ∠C = 130°
180° - 130° = ∠B
∠B = 50°
For the given triangle, the tan of angle A equals C.
.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 15 units, the adjacent side has a length of 36 units while the hypotenuse of the triangle measures 39 units. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
cos A =
.
Step 2; The opposite side's length = 15 units,
The adjacent side's length = 36 units.
cos A =
, dividing the numerator and the denominator by 3, we get
cos A =
, which is option C.