alonnachambon
05.07.2020 •
Mathematics
2. In the diagram below, angle AOB = 66°
Find angle OAB, giving reasons for your answer.
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Ответ:
57°
Step-by-step explanation:
Δ AOB has 2 equal sides as radius of the circle, this is isosceles triangle
So the angles ∠OAB= ∠OBA
∠AOB= 66° and sum of 3 angles = 180°
So ∠OAB= (180° - 66°)/2= 57°
Ответ:
D. 12.5 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
In this problem, you are given an angle, the side adjacent to it, and asked for the length opposite the angle. Hence the tangent relation is the appropriate one to use.
tan(32°) = height/(20 ft)
(20 ft)·tan(32°) = height ≈ 12.5 ft
The height of the tree is about 12.5 ft.