Angles of Elevation and Depression + SOH CAH TOA
Elevation and Depression
What is the angle of elevation from the boat to Johnson?
What is the angle of elevation of Johnson to the plane?
What is the angle of depression from the plane to Johnson?
What is the angle of depression of Johnson to the boat?
![[size=100][color=#ff00ff]SOH[/color] [color=#9900ff]CAH[/color] [color=#0000ff]TOA[/color]
[color=#ff00ff]S[/color]in θ = [color=#ff00ff]O[/color]pposite/[color=#ff00ff]H[/color]ypotenuse
[color=#9900ff]C[/color]os θ = [color=#9900ff]A[/color]djacent/[color=#9900ff]H[/color]ypotenuse
[color=#0000ff]T[/color]an θ = [color=#0000ff]O[/color]pposite/[color=#0000ff]A[/color]djacent [/size]](https://www.geogebra.org/resource/m8mcqkn2/8XC7PBa4lfuzq7fj/material-m8mcqkn2.png)
Find the length of r using soh cah toa?
Find the length of x
What is the angle that is red?
a) What is the length of h?
b) What is the length of x?
c) What is the length of QR? (1dp)
Given that an angle of depression from the top of a cliff to a boat in the sea is 37 degrees, and the cliff is 150 m, how far is the boat from the base of the cliff?
An observer on a cliff 9500 m above sea level sights two ships due east. The angles of depression of the ships are 50˚ and 33˚. Find, to the nearest meter, the distance between the two ship
An observer standing on top of a cliff, spots a house in the adjacent valley at an angle of depression of 16°. The cliff is 47m tall. How far is the house from the base of the cliff? To the nearest meter
Buildings A and B are across the street from each other, 35m apart. From a point on the roof of Building A the angle of elevation at the top of Building B is 24°, and the angle of depression of the base of Building B is 34° from building A. How tall is each building?