A carpenter braces a 10-ft x 15-ft wall by nailing a board diagonally across the wall. How long is the bracing board? Write your
answer in simplest radical form and round the answer to the nearest tenth.
1 answer:
Answer:
Radical: 5√13
Decimal: 18.0
Step-by-step explanation:
Given the dimension of the board given as 10ft by 15ft
If the board is nailed diagonally, the length of the bracing board will be gotten using the pythagoras theorem;
d² = 10² + 15²
d² = 100 + 225
d² = 325
d = √325
Expressing in radical form;
d = √325
d = √25*13
d = 5√13
Hence the length of the board in radical form is 5√13 feet
Express in decimal form;
d = √325
d = 18.0
Hence the length of the board to the nearest tenth is 18.0 feet
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