IB Mathematics Analysis and Approaches 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 $F$.