Answer:
84.5 m
Step-by-step explanation:
It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.
The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:
Tan = Opposite/Adjacent
Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:
tan(30°) = OB/OA
OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m
Likewise, we have ...
OC = (200 m)·tan(45°) = 200 m
Then the width of the river is the difference between these values:
BC = OC -OB = 200 m - 115.47 m = 84.53 m
<h3>
Answer: x = 21</h3>
Explanation:
The two angles shown combine to 180 degrees because the angles form a straight line.
(3x+18)+(4x+15) = 180
7x+33 = 180
7x = 180-33
7x = 147
x = 147/7
x = 21
hmmm hmmm hmm hm hm hm hm hm hm hm hm hmm
Answer:
Options (2) and (5)
Step-by-step explanation:
Given ratio is a : b and b : c

[Option 2]

b × b = a × c
b² = ac
If a = b,
b² = bc
b = c [Option 5]
Therefore, Options (2) and (5) are the correct options.