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3 years ago

What is the sine ratio of angle E? A - 5/3 B - 3/5 C - 5/4 D - 4/5

Mathematics

2 answers:

sergejj [24]3 years ago

7 0

Answer:

The correct option is B.

Step-by-step explanation:

In a right angled triangle

$\sin \theta=\frac{perpendicular}{hypotenuse}=\frac{opposite}{hypotenuse}$

In the given triangle DEF, the opposite sides of angle E is DF=6 units and hypotenuse EF=10 units.

The sine ratio of angle E is

$\sin E=\frac{DF}{EF}$

$\sin E=\frac{6}{10}$

$\sin E=\frac{3}{5}$

The sine ratio of angle E is 3/5, therefore the correct option is B.

Andrej [43]3 years ago

3 0

Sine: opposite divided by the hypotenuse

So, S = 6/10
S = 3/5

{B} is what I got.

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3 years ago

Read 2 more answers

Two cars leave Phoenix and travel along roads 90 degrees apart. If Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mp

romanna [79]

Answer:

C. 210 miles

Step-by-step explanation:

We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.

We will use distance formula and Pythagoras theorem to solve our given problem.

$\text{Distance}=\text{Speed}\times \text{Time}$

$\text{Distance covered by Car 1 in 3.5 hours}=\frac{42\text{ Miles}}{\text{Hour}}\times \text{3.5 hour}$

$\text{Distance covered by Car 1 in 3.5 hours}=147\text{ Miles}$ .

Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.

$\text{Distance covered by Car 2 in 3 hours}=\frac{50\text{ Miles}}{\text{Hour}}\times \text{3 hour}$

$\text{Distance covered by Car 2 in 3 hours}=150\text{ Miles}$

Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.

$\text{Distance between both cars}=\sqrt{147^2+150^2}$