Assignment #1: page 933 #’s 13-23,30-32,(38)
Find the value of the sine, cosine, and tangent functions for ϴ. 13) 14) 15)
Use a trigonometric function to find the value of x. 16) 17) 18)
19) Today, the Great Pyramid in Egypt is not as tall as when it was originally built. The square base of the pyramid has a side length of 230 m, and the sides of the pyramid meet the base at an angle of 52˚. A) What was the original height of the pyramid to the nearest meter? 147 m B) What was the original slant height of the pyramid to the nearest meter? 187 m
20) The top of the Matagorda Island Lighthouse in Texas is about 90 ft above sea level. The angle of elevation from a fishing boat to the top of the lighthouse is 10˚. A) To the nearest foot, what is the distance d between the boat and the base of the lighthouse? 510 ft B) After the boat drifts for half an hour, the angle of elevation has decreased to 4.5˚. To the nearest foot, how much farther has the boat moved from the lighthouse? 633 ft
Find the values of the six trig functions for ϴ.
30) Which of the following is equal to cos 27˚? A) csc 63˚ B) sec 63˚ C) tan 63˚ D) sin 63˚
31) Which expression represents the length of ? F) 12cot27˚ G) 12csc27˚ H) 12sin27˚ J) 12tan27˚
32) If , what is ? A) B) C) D)