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?
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.