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1 answer:
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Answer:
13.86 to the nearest tenth.
Step-by-step explanation:
A right angled triangle has three sides and it also has three angles. One of the angles is always 90 degrees while the other two angles are complimentary angles. This means that they add up to give 90 degrees.
The longest side is called the hypotenuse.
One of the shorter side is called the opposite.
The other shorter side is called the adjacent.
From the information given,
The length of the hypotenuse = 19cm
The length of the opposite side = 13cm
The length of the adjacent side = xcm
Applying Pythagoras theorem,
Hypothenuse ^2 = adjacent^2 + opposite ^2
19^2 = x^2 + 13^2
x^2 = 361 - 169 = 192
x = √192 = 13.8564
= 13.86 to the nearest tenth.
9514 1404 393
Answer:
a) 14√5 feet
b) about 31.3 feet
Step-by-step explanation:
a) The 42-ft hose is the hypotenuse of a right triangle with one leg 28 ft. We are asked to find the other leg. The Pythagorean theorem is useful.
h² +(28 ft)² = (42 ft)²
h² = (1764 -784) ft² = 980 ft²
h = √(196·5) ft
h = 14√5 ft
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b) The approximate height is ...
14√5 ≈ 31.305, about 31.3 feet
