Answer: 23 ft (approximately)
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Explanation:
Draw out a diagram as I've done so below. The unknown side x is opposite the reference angle 68. The hypotenuse (ladder length) is 25.
We'll use the sine rule
sin(angle) = opposite/hypotenuse
sin(68) = x/25
25*sin(68) = x
x = 25*sin(68)
x = 23.1795963641697
x = 23
The ladder reaches approximately 23 feet up on the wall.
I'm rounding to the nearest whole number because the other values given to you were also whole numbers. If your teacher says to round otherwise, then follow those instructions instead.
Answer:
.0043076923076923
Step-by-step explanation:
Answer:
A number less than 4 was rolled 18 times.
The number cube was rolled 50 times. The relative frequency of rolling a number less than 4 is 36%.
Answer:
Step-by-step explanation:
Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.
<h3>What is the Length of an Arc?</h3>
Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

where
θ is the angle, that which arc creates at the centre of the circle in degree.
Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,
The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m
Hence, the length of the arc m∠QPR is 2.8334π m.
Learn more about Length of an Arc:
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