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3 years ago

A small school has 42 boys. If the ratio of boys to girls is 7 : 1, how many, students are?

2 answers:

8 0

There are a total of 48 students. Being 42 boys as mentioned earlier and 6 girls total attending too.

Please vote my answer brainliest! Thanks.

Digiron [165]3 years ago

4 0

Answer:

Step-by-step explanation:

Total ratio = 7 + 1 = 8

Let the total number of students be x

Number of boys.

7/8 × x = 42

7/8 x = 42

Multiply both sides by 8

8 × 7/8 x = 42× 8

7x = 336

Divide both sides by 7

7x / 7 = 336/7

x = 336/7 = 48

Therefore total number of students is 48

I hope this was helpful, please rate as brainliest

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Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle

Sindrei [870]

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

<h3>How can the distance between Vic and Dan be calculated?</h3>

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

$tan( \theta) = \frac{opposite}{adjacent}$

$tan( 61 ^{ \circ}) = \frac{553.3}{ Vic' s\: distance \: to \: tower}$

$distance = \frac{553.3}{tan ( {61}^{ \circ} )} = 306.7$

Vic's distance from the tower ≈ 306.7 m

Similarly, we have;

$Dan's distance = \frac{553.3}{tan ( {72}^{ \circ} )} = 179.8$

Dan's distance from the tower ≈ 179.8 m

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;