The diagram below , not drawn to scale , shows three points R , S and F on the horizontal ground . FT is a vertical tower of height 25 m .The angle of elevation of the top of the
tower , T , from R is 27o

. R is due east of F ,and S is due south of F . SF = 43.3 m.

(ii) Show , by calculation , that RF = 49.1 m ( 2 marks )



(iii) Calculate the length of SR correct to 1 decimal place. ( 2 marks )





(iv) Calculate the angle of elevation of the top of the tower , T , from S. ( 2 marks )




T
25 m
F
43.3 m

S

R
(i) Sketch separate diagrams of the
triangles RFT , TFS and SFR .
Mark on EACH diagram the given measures
of sides and angles.

Write a positive or negative number to represent each situation. a. you win 150 dollars in a contest b. a loss of 15 yards in a football game c. 75 feet below sea level d. 35 degrees above 0 f e. a debt of 24.75 dollars

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

If value of cos330° is √3/2 then find tan165°.