If tanA = \(\frac{3}{7.2}\), find the value of 65 cosA + 26 tanA.
Answer & explanation
Correct answer: option 1
tanA = \(\frac{3}{7.2}\) = \(\frac{30}{72}\) = \(\frac{5}{12}\) = \(\frac{P}{B}\) [Triplet 5, 12, 13]
H = 13×0.6 = 7.8
Now,
cosA = \(\frac{B}{H}\),
then
65 cosA + 26 tanA = 65 × \(\frac{7.2}{7.8}\) + 26 × \(\frac{3}{7.8}\) = 60 + 10 = 70