Question 4.
1 answer:
Answer:
9.80 m
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.
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<h3>setup</h3>The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...
Tan = Opposite/Adjacent
Using the given values, we have ...
tan(24°) = AC/AB = (tree height)/(distance from tree)
tan(24°) = AC/(22 m)
<h3>solution</h3>Multiplying by 22 m gives ...
tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m
The height of the tree is about 9.80 meters.
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Answer:
surface area = 245.04 cm² (nearest tenth)
Step-by-step explanation:
Surface area of a closed cylinder =
Given:
- diameter = 6 cm ⇒ radius = 3 cm
- height = 10 cm
⇒ surface area = 2 × × 3² + 2 ×
× 3 × 10
= 78
= 245.04 cm² (nearest tenth)