Main Street, State Street, and Birch Avenue intersect to form a right triangle.

Mathematics

2 answers:

enyata [817]3 years ago

7 0

Answer: Main Street make 41° angle with Birch Avenue.

Step-by-step explanation:

Since we have given that

Length of State Street = 75 m

Length of Birch Street = 115 m

So, we need to find the angle between Main and Birch Street.

We will use "Sine" as we have Perpendicular and hypotenuse given.

$\sin \theta=\dfrac{75}{115}\\\\\sin \theta=0.652\\\\\theta=\sin^{-1}(0.652)\\\\\theta=40.7\\\\\theta\approx 41^\circ$

Hence, Main Street make 41° angle with Birch Avenue.

ANTONII [103]3 years ago

5 0

Cos theta = 75/115
theta = cos^-1 (75/115)
theta = 49.2 degrees

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zvonat [6]

Answer:

24.8

Step-by-step explanation:

We will have to use trigonometry here to find the value of x. The first thing we can see is that we need to work out the hypotenuse. We need to chose whether to use Sin, Cos or Tan. We do that by look at the sides .

→ 'x' is the hypotenuse

→ 12 is opposite

→ The adjacent is the side that doesn't have a numerical value to we look for a formula triangle without adjacent in it

Tan = Opposite ÷ Adjacent

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Cos = Adjacent ÷ Hypotenuse

We can see the Sin formula has no adjacent in it so we use that formula. However we want to work out the hypotenuse so we have to rearrange the sin formula to get hypotenuse as the subject so

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6 0

2 years ago

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sveta [45]

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