SOLUTION TO LAST MONTH'S QUIZ
1. 45^{o}, 45^{o}, 90^{o}
2. 50.8^{o}, 100.4^{o}, 28.8^{o}
Notes.
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 xy coordinates 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) = 79.60^{o}
and slope of PQ = tan^{1}(0.5505) = 28.83^{o}
(etc.)
