Trigonometric Functions: Inverse Trigonometric Values

think icon Think & Click: Problems Using Right Triangle Trigonometry

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

A ladder is resting against a wall. The ladder and the ground make an angle of 40° and the ladder is 4 ft from the wall. How long is the ladder?
 

cos 40° = four divided by x

x ≈ 5.22 ft
 

A plane is descending towards a runway in Seattle. The plane is flying at an altitude of 10 miles and is 210 miles from the runway, as measured from the ground. What angle will the plane’s path make with the runway?
 
Solve tan x = ten divided by two hundred ten
x = 2.73°
 

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