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Use the Pythagorean Theorem to find the length of the leg.
8
Use the Pythagorean Theorem to find the length of the leg.
12
Kelvin is building a gazebo and wants to brace each corner by placing a $\text{10inch}$ wooden bracket diagonally as shown. How far below the corner should he fasten the bracket if he wants the distances from the corner to each end of the bracket to be equal? Approximate to the nearest tenth of an inch.
Step 1. Read the problem.  
Step 2. Identify what you are looking for.  the distance from the corner that the bracket should be attached

Step 3. Name. Choose a variable to represent it.  Let x = the distance from the corner 
Step 4.
Translate.
Write the appropriate formula. Substitute. 

Step 5.
Solve the equation.
Isolate the variable. Use the definition of the square root. Simplify. Approximate to the nearest tenth. 

Step 6.
Check:
Yes. 

Step 7. Answer the question.  Kelvin should fasten each piece of wood approximately 7.1" from the corner. 
John puts the base of a $\text{13ft}$ ladder $5$ feet from the wall of his house. How far up the wall does the ladder reach?
12 feet
Randy wants to attach a $\text{17ft}$ string of lights to the top of the $\text{15ft}$ mast of his sailboat. How far from the base of the mast should he attach the end of the light string?
8 feet
Use the Properties of Angles
In the following exercises, find ⓐ the supplement and ⓑ the complement of the given angle.
$\text{16\xb0}$
$\text{72\xb0}$
In the following exercises, use the properties of angles to solve.
Find the complement of a $\text{38\xb0}$ angle.
Find the supplement of a $\mathrm{109.5\xb0}$ angle.
Two angles are supplementary. The larger angle is $\text{56\xb0}$ more than the smaller angle. Find the measures of both angles.
62°, 118°
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