Your sister says the horizontal measure from her to the rock wall is 5.5 feet, while the horizontal distance is 13.42 feet. What is the approximate height of her rock wall to the nearest tenth.
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Answer:
12 feet
Step-by-step explanation:
Given in the question,
horizontal distance from sister to rock wall = 5.5 feet
diagonal distance from sister to rock wall's peak = 13.42 feet
As we know this figure make a right angle triangle, so we will apply pythagorus theorem
hypotenuse² = height² + base²
13.42² = height² + 5.5²
13.42² - 5.5² = height²
149.85 = height²
height = √149.85
height = 12.24 feet
Approximate height of her rock wall to the nearest tenth = 12 feet