At a point 200 feet from the base of a building, the angle of elevation to the bottom of a rod is 35 degrees, and the angle of elevation to the top is 53 degrees , as shown below. Find the height x of the Rod alone.

This problem includes two right triangles. For the smaller triangle use the information that Tan 35 =a/200 to represent the height of the building: a=200 tan 35.

Now, To find the larger right triangle , use the equation tan 53= (a+s)/200

Finding an Angle of Deprssion

A swimming pool is 20 meters long and 12 meters wide. The bottom of the pool is slanted so that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end, as shown bellow. Find the angle of depression of the bottom of the pool.

Finding a Side of a Right TriangleAt a point 200 feet from the base of a building, the angle of elevation to the bottom of a rod is 35 degrees, and the angle of elevation to the top is 53 degrees , as shown below. Find the height x of the Rod alone.

SolutionThis problem includes two right triangles. For the smaller triangle use the information that Tan 35 =a/200 to represent the height of the building: a=200 tan 35.

Now, To find the larger right triangle , use the equation tan 53= (a+s)/200

Finding an Angle of DeprssionA swimming pool is 20 meters long and 12 meters wide. The bottom of the pool is slanted so that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end, as shown bellow. Find the angle of depression of the bottom of the pool.

SolutionUsing tangent

Tan A= opp/adj= 2.7/20=.135

the angle of depression is A= arctan .135 which is about 7.69 degrees.

Trigonometry and Bearings