Answer:
18.326 inches
Step-by-step explanation:
The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing
, and we ge that θ is
so (
)(5)= 18.326 inches
Answer:
x=4
Step-by-step explanation:
since triangles are proportional by 2:1, then:
16/2=3x-4
8=3x-4
3x=12
x=4
Answer:
Step-by-step explanation:
Balloon - B, stake - S, point at ground - G
<u>Given:</u>
- BS = 90 ft
- m∠BSG = 62°
- BG = x
<u>Use sine and solve for x:</u>
- BG/BS = sin ∠BSG
- sin 62° = x / 90
- x = 90 sin 62 deg
- x = 79 ft (rounded)