SOLUTION TO LAST MONTH'S QUIZ
1. 45o, 45o, 90o
2. 50.8o, 100.4o, 28.8o
Q.1 Suppose the warning triangle has sides of length 2a.
It is easily seen that the dimensions of the shadow are as shown.
Q.2 Take x-y co-ordinates as shown.
Then point P can be found to be (1.2247a, 1.2247a)
So gradient of PR is 1.2247/0.2247 = 5.4504
and gradient of PQ is 1.2247/2.2247 = 0.5505
So slope of PR = tan-1(5.4504) = 79.60o
and slope of PQ = tan-1(0.5505) = 28.83o