Pretty sure its 0.2917, not sure tho,
Answer:
<u>The average speed coming home was 63.27 miles per hour</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed from home to Maine = 58 miles per hour
Time of the first leg of the trip = 3 hours or 180 minutes
Time of the second leg of the trip = 15 minutes less = 180 - 15 = 165 minutes or 2 hours 45 minutes
2. What was my average speed coming home?
Let's calculate the distance from home to Maine, this way:
Speed = Distance/Time
Distance = Speed * Time
Distance = 58 * 3 = 174 miles
Now, let's calculate the speed of the second leg, as follows:
Speed = Distance/Time
2 hours 45 minutes = 2.75
Speed = 174/2.75
<u>Speed = 63.27 miles per hour</u>
Answer:
1.57 radians
Step-by-step explanation:
Divide both sides by 360, you get 1° = π/180. This means 70° is equal to (70)(π/180). Then simplify this, and 70° = (7π)/18 radians, or approximately 1.221730476396 radians. This seems reasonable because 90°, is a quarter circle and (1/4) of 2π is π/2, which is approximately 1.57 radians.
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
and, solving for x,

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m