Alexander wants to measure the height of a tree the base of the tree and looks 1

Question

Alexander wants to measure the height of a tree the base of the tree and looks 16. He walks exactly 100 feet from angle from This tree grop. The angle from the ground to the top of the tree ree grows at an vertically (909) How tllse of 83° with respect to the ground rather than the tree to the nearest foot? 17. The sides of a parallelogram are 3 cm and 7 cm. One angle is 58° while another is 122" Find the lengths of BOTH diagonals of the parallelogram to the nearest centimeter 18. A fire at point F is spotted from two fire lookout stations, A and B, which are 10.0 miles apart. If station 8 reports the fire at angle ABF to be 53.0°, and station A reports the fire at angle BAF to be 28.5, then how far, to the nearest tenth ofo mile, is the fire from station A and from station B? 18

Explanation / Answer

16)  

the tree makes an angle of 83 degree with the ground

angle os elevation = 33 deg

remaining angle = 180 - ( 83 + 33) = 64 degrees

applying law of sines

sin 64 / 100 = sin 33 / h

h = height of the tree

h = 60.596

heighet of the tree is 60.60 feet

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