Question Type 1: Using SOH CAH TOA to find one side length given an angle Exercises

In a right-angled triangle, angle $A = 30^\circ$ and the hypotenuse is $10\text{ cm}$. Find the length of the side opposite angle $A$.

In a right-angled triangle, angle $C = 60^\circ$ and the length of the side adjacent to angle $C$ is $5\text{ cm}$. Find the length of the hypotenuse.

In a right triangle, angle $B = 45^\circ$ and the hypotenuse measures $8\text{ m}$. Determine the length of the adjacent side to angle $B$.

In a right-angled triangle, angle $G = 37^\circ$ and the opposite side measures $4\text{ cm}$. Determine the length of the hypotenuse.

Given a right triangle with angle $K = 80^\circ$ and a hypotenuse of $15\text{ m}$, determine the length of the adjacent side.

In a right-angled triangle, angle $L = 54^\circ$ and the adjacent side is $6\text{ cm}$. Find the length of the side opposite angle $L$.

In a right-angled triangle, angle $E = 40^\circ$ and the hypotenuse is $5 \, \text{cm}$. Find the length of the side opposite angle $E$.

A right triangle has angle $H = 65^\circ$ and the adjacent side is $9\text{ m}$. Find the hypotenuse.

A right triangle has angle $M = 33^\circ$ and the opposite side is $10\text{ m}$. Determine the hypotenuse length.

A right triangle has angle $D = 25^\circ$ and a hypotenuse of length $12\text{ m}$. Calculate the length of the side adjacent to angle $D$.

In a right-angled triangle, angle $J = 20^\circ$ and the opposite side is $3\text{ cm}$. Calculate the length of the adjacent side.

Given a right triangle where angle $F = 50^\circ$ and the adjacent side is $7 \text{ m}$, calculate the length of the side opposite angle $F$.