1) The sun is 18 degrees above the horizon. It makes a 54m-long shadow of a tall
ID: 1273267 • Letter: 1
Question
1)
The sun is 18 degrees above the horizon. It makes a 54m-long shadow of a tall tree.
How high is the tree?
2)
Here is a simple example. The inhabitants of a small island begin exporting beautiful cloth made from a rare plant that grows only on their island. Seeing how popular the small quantity that they export has been, they steadily raise their prices. A clothing maker from New York, thinking that he can save money by "cutting out the middleman," decides to travel to the small island and buy the cloth himself. Ignorant of the local custom of offering strangers outrageous prices and then negotiating down, the clothing maker accepts (much to everyone's surpise) the initial price of 400 tepizes/m2. The price of this cloth in New York is 120 dollars/yard2.
If the clothing maker bought 500m2 of this fabric, how much money did he lose? Use 1tepiz=0.625dollar and 0.9144m=1yard
3)
A hiker is climbing a steep 13 degrees slope. Her pedometer shows that she has walked 1600m along the slope. How much elevation has she gained?
.
Explanation / Answer
1)
h/54 = tan 18
h = 54 tan 18
= 17.545 m
2) Cost price = 400 tepizes/m2
Cost = 400 * 500 = 200000 tepizes
= 200000 * 0.625 dollars
= 125000 dollars
COst in NY = 120 dollars / yard^2
1 yard^2 = 0.9144^2 m^2
Cost = 120 / (0.9144)^2
= 143.519 dollar /m^2
Total cost in NY = 143.519 * 500
= $ 71759.5
Amount lost = 125000 - 71759.5
= $ 53240.5
3) Elevation = 1600 sin theta
= 1600 sin 13
= 359.92 metres
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.