An isotope has an atomic number of 17 and a mass number of 36. Which of the following gives the correct number of neutrons and protons in an atom of…

An isotope has an atomic number of 17 and a mass number of 36. Which of the following gives the correct number of neutrons and protons in an atom of the isotope?

  1. Neutrons 53, Protons 17
  2. Neutrons 17, Protons 36
  3. Neutrons 19, Protons 17 ✓
  4. Neutrons 36, Protons 17

Explanation

In right triangles: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent. Remember with “SOHCAHTOA.”

These ratios depend only on the angle, not triangle size. For 30°: sin = 0.5, cos = 0.866, tan = 0.577. For 45°: sin = cos = 0.707, tan = 1. For 60°: sin = 0.866, cos = 0.5, tan = 1.732.

Applications: finding heights (building, tree), angles of elevation/depression, navigation, physics (projectile motion). Calculator or tables give values for any angle.