MathNet 2021 — Part 08 Question 67

Question 67

In the right triangle $ABC$, with right angle at $C$, the altitude from $C$ meets $AB$ at $D$. What is the measure of $\angle BAC$ if $|CD|=\sqrt{12}\,\mathrm{cm}$ and $|AD|=4\,\mathrm{cm}$?

$\alpha\approx49.06^\circ$
$\alpha\approx40.89^\circ$
$\alpha\approx40.54^\circ$
$\alpha\approx49.11^\circ$
$\alpha\approx40.45^\circ$