BD = 5, tan(∠CAD) = 1.3 —Find AD.
AD is the altitude to the hypotenuse in right triangle ABC and that one geometric fact unlocks the whole problem 📐
BD = 5, tan(∠CAD) = 1.3. Since ∠BAD and ∠CAD are complementary, tan(∠BAD) = 1/1.3. So AD = BD × 1.3 = 6.5.
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