Using the figure below if theta 33 degree and y 9 determin

Using the figure below, if theta = 33 degree and y = 9, determine the exact value of x. a. x = 3/sin 11 degree b. x = 9/tan 33 degree c. x = 11/tan 3 degree d. x = 9/cot 33 degree e. x = 33/csc 9 degree A biologist wants to know the width w of a river so that instruments for studying the pollutants in the can be set properly. From point A the biologist walks downstream x = 140 feet and sighs to point C (see figure). From this sighting, it is determined that theta = 54 degree. How wide is the river? a. 212.693 b. 197.693 c. 207.693 d. 202.693 e. 192.693

Solution

Solution:

As we know;

tan = y/x

=> x = y/tan

=> x = 9/tan33^o  

(Option-B)

16.

Here;

tan = w/x

=> w = xtan

=> w = 140tan54^o

=> w = 192.693 feet

(Option-e)