Answer:
Angle of elevation = 21.167°
Step-by-step explanation:
Given:
Horizontal distance cover by rover = 180 m
Vertical distance cover by rover = 65 m
Find:
Angle of elevation
Computation:
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
⇒ Sin θ = Vertical distance cover by rover / Horizontal distance cover by rover
⇒ Sin θ = 65 / 180
⇒ Sin θ = 0.3611
⇒ Sin⁻¹ (0.3611) = 21.167°
Angle of elevation = 21.167°
Answer:
9ft
Step-by-step explanation:
Since the triangles are similar, the corresponding sides are proportional.
Let the height of the flag pole be x feet.

We multiply both sides by 6 to get:

We reduce the fraction to get:

We now simplify


Answer:
Pounds of bananas purchased is 3.
Step-by-step explanation:
Purchased price of bananas is 6.04 − 4.99 = $
1.05
Pounds of bananas purchased is 1.05 0.35 = 3 pounds
Hope this helps!!!
Answer:
Her usual driving speed is 38 miles per hour.
Step-by-step explanation:
We know that:

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.
We have that:
At speed s, she takes two hours to drive. So


However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.
228 minutes is 3.8 hours. So

So




Her usual driving speed is 38 miles per hour.