# MATH ISU

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#### Storyboard Text

• Today, we are solving for the length of sides in a right angle triangle using trigonometry
• SOH- SINE CAH- COSINE TOA-TANGENT
• Find the lengths of the sides, to the nearest tenth.
• w
• a
• x
• 5
• b
• 65
• y
• To find side (a), we should use TANGENT because we are using the adjacent side and the opposite side.
• tan 65= a/5 tan 65 x 5= a a= 10.7
• Next, we want to look for side (b).
• In order to do that, we are going to use COS because we are looking for the hypotenuse. We already have the adjacent side.
• So, cos 65= 5/b cos 65 x b= 5 b= 5/cos 65 b= 11.8
• w
• 10.7
• x
• 5
• 65
• 11.8
• y
• There is not only one way to find the hypotenuse, like we just did. We could also use the Pythagorean Theorem.
• Take 10.7 squared and add it to 5 squared. We would get 114.49 + 25= square root of 139.49, which is 11.8.
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