1. Trigonometry Project
Ms. thompson

2. Task 1: Arc Length & Sector Area of a Clock
Radius of clock = 5.7 𝑐𝑚
Distance between hour hand and minute hand = 5.2 𝑐𝑚
Angle in degrees = 𝑐𝑜𝑠 −1 1− ∙ = 54 𝑜
Angle in radians = 𝜋
Arc Length = 1.71𝜋
Sector Area = 𝑐𝑚 2

3. Task 2: Jumping Rope Jump Height = 3 𝑖𝑛𝑐ℎ𝑒𝑠
Time for 10 jumps = 8.81 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
Time for 1 jump = 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
𝐻 𝑡 =−1.5 cos 2𝜋 𝑥 +1.5
Negative a-value to represent ...
1.5 is the …
0.881 is the …
𝐻 𝑡 =−4.5 cos 2𝜋
4.5 is … if my jump height was tripled
0.441 is … if my speed doubled

4. Task 3: Hours of Daylight in Washington D.C.
My city: Washington D.C. Population: 601,723 Latitude: 38 𝑜 53 ′ 42.4” 𝑁
Interesting Facts:
One lap around Washington D.C. mall is 4.28 miles.
There is annual Cheery Blossom Trees Festival in Washington D.C. to honor and celebrate the friendship between United States and Japan.

5. Task 3: Hours of Daylight in Washington D.C.
Day length on June 21st is 14:53:50
In decimals hours
Washington D.C. will be experiencing Summer
12 is the ... of my trigonometry function.
Daylight difference: −12=2.897 ℎ𝑜𝑢𝑟𝑠
2.897 is the ... of my trigonometry function.
The solar year spans, 𝑑𝑎𝑦𝑠, represent ...
𝐷 𝑥 =2.897cos 2𝜋 𝜃 +12 My next birthday is May 16, 2018 My next birthday after June Solstice is 329 days away and there will be ℎ𝑜𝑢𝑟𝑠 𝑜𝑓 𝑑𝑎𝑦𝑙𝑖𝑔ℎ𝑡

6. sources
- Latitude - D.C. Mall Cherry Blossom