Question

find the value of tan u rounded to the nearest hundredth, if necessary.

Explanation:

Step1: Find the adjacent side

Use Pythagorean theorem \(a^{2}+b^{2}=c^{2}\). Let \(a = 15\), \(c = 25\), find \(b\) (adjacent side to angle \(U\)).
\(b=\sqrt{25^{2}-15^{2}}=\sqrt{(25 + 15)(25 - 15)}=\sqrt{40\times10}=\sqrt{400}=20\)

Step2: Calculate \(\tan U\)

\(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Opposite side to \(U\) is \(15\), adjacent side is \(20\).
\(\tan U=\frac{15}{20}=0.75\)

Answer:

\(0.75\)