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2 years ago

Use the figure to find n please.

Mathematics

2 answers:

ira [324]2 years ago

4 0

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig

tan theta = opp /adj

tan 30 = n / 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

Sergio039 [100]2 years ago

3 0

Now we have to,

find the required value of n.

Now we can,

Use the trigonometric functions.

→ tan(θ) = opp/adj

Let's find the required value of n,

→ tan (θ) = opp/adj

→ tan (30) = n/5√3

→ n = 5√3 × tan (30)

→ n = 5√3 × √3/3

→ n = 5√3 × 1/√3

→ [n = 5]

Hence, the value of n is 5.

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1 year ago

Read 2 more answers

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kkurt [141]

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2 years ago

Find the length of the missing side in the figure below. a = _______ cm.

WITCHER [35]

Answer:

$\frac{2 \sqrt{177} }{5}$

5.32cm correct to 2 decimal places

Step-by-step explanation:

This is a right angled triangle from what I know so we have to apply pythagoras theorem.

${7.1}^{2} = {a}^{2} + {4.7}^{2}$

we need to rearrange this to find a²

${a}^{2} = {7.1}^{2} - {4.7}^{2}$

$a = \sqrt{ \frac{708}{25} }$

This can either be written as a fraction or decimal.

$a = \frac{2 \sqrt{177} }{5}$

$a = 5.32$

correct to 2 decimal places

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1 year ago