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10.6 Practice A
Evaluate with a calculator. Round answers to the nearest tenth.
2
1) cos -1  
2) arctan (3.5)
3) arcsin (0.73)
3
3
4) tan-1  
7
Using a calculator, find θ. Round answers to the nearest tenth.
5) cos θ = 0.735
6) sin θ = 0.957
7) tan θ = 0.054
8) cos θ = 0.629
Write the trig equation, then find θ. Round answers to the nearest tenth.
9)
10)
11)
θ
11
θ
15
4
3
θ
8
12)
7
13)
14)
14
θ
17
9
θ
θ
6
13
10
15) A plane is flying at an altitude of 2.3 miles and the horizontal distance from the plane to the
landing strip is 25 miles. What is the angle of depression to the landing strip? Round answer to
the nearest tenth.
16) The height of an outdoor basketball backboard is 12 ft. and the backboard casts a shadow
that is 21 ft. long. What is the angle of elevation of the sun? Round answer to the nearest
tenth.
17) The height of an outdoor basketball backboard is 12.5 ft. and the backboard casts a shadow
1
17 feet long. Find the angle of elevation of the sun. Round answer to the nearest tenth.
3
18) A builder needs to construct a wheelchair ramp 24 ft long that rises to a height of 5 ft above
ground. Approximate the angle the ramp should make with the ground. Round answer to the
nearest tenth.
19) At a certain time of the day a child five feet tall casts a four foot long shadow. Approximate
the angle of elevation to the sun. Round answer to the nearest tenth.