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3 years ago

Need help with Trigonometry!

Mathematics

1 answer:

EleoNora [17]3 years ago

5 0

Answer:

h = 109.9 in

Step-by-step explanation:

The above question can be solved using trigonometric ratio formula,

tan θ = opposite/adjacent

tan θ = tan 70° ≈ 2.7475

opposite = height of lamppost = h in

Adjacent = 40 in

Thus,

$tan 70 = \frac{h}{40}$

$2.7475 = \frac{h}{40}$

Multiply both sides by 40 to solve for h

$40*2.7475 = h$

h = 109.9 inches

The height of the lamppost = h = 109.9 inches (to nearest tenth)

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In DEF, C is the centroid if DM=45 , find DC and CM DC= ? Units

IgorC [24]

Answer:

DC=30

CM=15

Step-by-step explanation:

Given

Triangle DEF with C centroid

DM=45 (length of median)

centroid divides median in the ratio 2:1(larger side at vertex)

⇒

DC $=\frac{2}{3} \times DM=\frac{2}{3} \times 45= 2\times 15=30$

⇒DC=30

DC+ CM=DM

30+CM=45

⇒CM=15

7 0

3 years ago

PLEASE HELP I WILL GIVE BRAINLIEST TO THE FIRST PERSON TO ANSWER

jekas [21]

Answer:

1. 2x = 60

x = 30

y = x - 5 = 30 - 5 = 25

2. x= 11

4 0

3 years ago

Victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years. 1. enter an inequality that can be

Elis [28]

V = x + 4
x = neighbors age

x + x + 4 < = 14...here is the inequality
2x + 4 < = 14.....this is just a simplified form of the inequality
not sure which one u want to write, because they are both basically the same...one is just simplified a little

2x + 4 < = 14
2x < = 14 - 4
2x < = 10
x < = 10/2
x < = 5.....the oldest age of the neighbor is 5

5 0

3 years ago

Can someone help me with number 3 pls

sergejj [24]

Answer:

hypothesis

Step-by-step explanation:

If hypothesis then conclusion

5 0

3 years ago

Solve for x: x = Answers: 22.5 30 45

AVprozaik [17]

Answer: 22.5 degrees

Step-by-Step Explanation:

As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.

=> All the angles sum up to 180.

Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5

Therefore, x = 22.5 degrees

Verification:

=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS

6 0

2 years ago