Solve the questions 7, 8, and 9.

Mathematics

2 answers:

lara31 [8.8K]2 years ago

8 0

7. A 6t 8. B 5.5 9. B 14

Elden [556K]2 years ago

6 0

7) answer-6t
t=toms cans collected

8) answer- 5.5
8.3-2.8=5.5

9) answer-14
56/4=14

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What is the interior angles cut by transversal t.

gregori [183]

Answer:

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An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and

blagie [28]

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