51. Find the formula for the perimeter of a window of the shape in Figure (13).

Question

51. Find the formula for the perimeter of a window of the shape in Figure (13). (B) 52. A water tank has the shape of a cone (like an ice cream cone without ice cream). The tank is 10m high and has a radius of 3m at the top. If the water is 5m deep (in the middle) what is the surface area of the top of the water? a. Two cars start moving from the same point. One travels south at 100 km/hour, the other west at 50 km/hour. How far apart are they two hours later? 14. A like is 100m above the ground. If there are 200m of string out, what is the angle between the string end the horizontal. (Assume that the string is perfectly straight).

Explanation / Answer

51)PERIMETER=pir +2r+r+r =4r+pir =r(4+pi)

52)finding the radius at the point of 5m,10/5 =3/x ,x=1.5

now surface area =pir^2 =pi*(1.5)^2 =7.0695 cm^2

53)distance travelled by respective car after two hour is

south car travels =2*100 =200km and west car travels 2*50 =100km

now distance between them can be given by pythagoras theorem,sqrt(100^2+200^2) =223.6 km

54)angle can be given by sin theta =100/200,theta =sin^-1 1/2 =30 degree

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