Answer:
A. 19.3ft B. 5.2ft
Step-by-step explanation:
So the ladder leaning against the wall forms a triangle. The hypotenuse of
triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.
Sine of Angle is opposite side/hypotenuse
Cosine of Angle is adjacent side/hypotenuse
so Sine of 75 degrees = Wall height/20
Wall height = 20 times Sine of 75 degrees
Sine of 75 degrees = .9659
20 times (.9659) = 19.3ft
So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)
Cosine of 75 degrees = Distance wall to base of ladder / 20
Cosine of 75 degrees = .2588
20 times (.2588) = 5.2ft
Answer:
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Step-by-step explanation:
Using the given information, the unit rate is 0.0645 miles/minute
<h3>Calculating rate </h3>
From the question, we are to determine the unit rate
From the given information,
Daniel runs 40/5 miles in 124 minutes
That is,
Distance = 40/5 miles = 8 miles
Time = 124 minutes
Using the formula,
Rate = Distance / Time
Rate = 8 miles / 124 minutes
Rate = 0.0645 miles/minute
Hence, the unit rate is 0.0645 miles/minute
Learn more on Calculating rate here: brainly.com/question/1090517
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