University:
Williams College
Course:
MATH 140 | Calculus II
Academic year:

2019
Views:

155

Pages:

2
Author:

Aidyn Ayers

Pre-Calculus Trig Worksheet (Day 4) Name_________________________ Evaluate the expression without using a calculator. 𝜋 𝜋 1. sin 3 + cos 6 3. (sin 45°)2 + (cos 60°)2 2. sin 30° sec 30° Find the value of 𝒙. For #4 and #5 find the EXACT VALUE OF 𝒙. 4. 5. 30 15 40 30 60 30 𝑥 𝑥 6. 7. 33 72 8. The legs of an isosceles triangle are each 21 cm long and the angle between them has a measure of 52°. What is the length of the third side? 9. From points 𝐴 and 𝐵, 10 m apart, the angles of elevation of the top of a tower are 40° and 54° respectively. Find the tower’s height. 10. Find the angle of depression from the top of a lighthouse 250 feet above water to the water line of a ship 2.5 miles offshore. 11. While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 2.5°. After you drive 18 miles closer to the mountain, the angle of elevation is 10°. Approximate the height of the mountain. 12. A student looks out of a second-story school window and sees the top of the school flagpole at an angle of elevation of 37°. The student is 9 ft above the ground and 30 ft from the flagpole. Find the height of the flagpole. 13. A ship leaves port at 11 a.m. and has a bearing of 𝑆 42° 𝑊. The ship sails at 25 knots. How many nautical miles south and how many nautical miles west will the ship have travelled by 5:30 p.m.? 14. A plane is 135 miles north and 70 miles east of an airport. The pilot wants to fly directly to the airport. What bearing should be taken? 15. An airplane flies on a course of 130° at a speed of 900 km/hr. How far east of its starting point is it after 3.5 hours?

Geomatry Triangle Trig Review Worksheet 4

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