Use Pythagorean Theorem:
c = sr (a^2 + b^2) = sr (3^2 + 5.3^2)
= sr (9 + 28.09) = sr (37.09)
= 6.09 = 6.1
Answer:
15 miles/hour = 0.25 miles/minute
The cyclist would have traveled 5 miles in 20 minutes.
Step-by-step explanation:
15 miles per hour is written as
15 miles/hour
To convert 15 miles/hour to miles/minute
From 1 hour = 60 minutes
∴ 15 miles/hour = 15 miles/ 60 minutes
= (15/60) miles/minute
= 0.25 miles/minute
To calculate how many miles the cyclist will travel in 20 minutes
That is, Time, t = 20 minutes
Velocity, v = 15 miles/hour = 0.25 miles/minute
Distance, s = ??
From,
∴
× 
× 
Hence, The cyclist would have traveled 5 miles in 20 minutes.
That one in the san Andreas movie?
Using relations in a right triangle, it is found that the angle of depression is of θ = 56.31º.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
For this problem, we have that:
- The opposite side to the angle of depression is the top of tower, at a height of 9000 feet.
- The adjacent side to the angle is the distance to the bird, of 6000 feet.
Hence, considering θ as the depression angle, we have that:
tan(θ) = 9000/6000
tan(θ) = 1.5
θ = arctan(1.5)
θ = 56.31º.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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