A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees. Estimate the height h of the tree to the nearest tenth of a meter.

Answers

Answer 1
Answer:

The required height of the tree is 32.5 meters.

Given that,
A person 100 meters from the base of a tree, observes that the angle between the ground and the top of the tree is 18 degrees.  To estimate the height h of the tree to the nearest tenth of a meter.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
let the height of the tree be x, and the slant height from the foot of the person to the top of the tree be h,
according to the question,
base length = 100
cos 18 = 100 / h
h = 105.14
Now,
sin 18 = x / h
sin 18 = x / 105.14
x = 32.5 meters

Thus, the required height of the tree is 32.5 meters.

Learn more about trigonometry equations here:

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Answer 2
Answer:

This is right angle trig. We know that...

cos(18°) x hypotenuse = 100

hypotenuse = 100/cos(18°)

hypotenuse = 105.15 meters approx.

Because they want the height of the tree we want "sin(18°) x hypotenuse".

sin(18°) x 105.15 = 32.5 meters approx.

answer: 32.5 meters approx.


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Alex saved $65. He has already spent $25. He plans to spend $8 on a movie ticket each month. Which any quality represents the number of movie tickets he can but?

Answers

Answer: 8m+25 ≤ 65

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

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Feel free to ask for more if needed or if you did not understand something.  

Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 . 5 to the power of negative 1 over 6 5 to the power of 3 over 2 5 to the power of 5 over 2 5 to the power of negative 5 over 6

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Convert everything to exponential form, and then use the rules for working with exponents. 
cube root of 5 = 5^⅓ 
²√5 = 5^½ 
cube root of 5 to the power of 5 =5^(5/3) 
Therefore, cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 =  5^(⅓ + ½ - (5/3)) = 5^{(2 + 3 - 10)/6} = 5^(-5/6)

The answer should be 5 to the power of negative 5 over 6

Answer:

5^-5/6 d

Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answer:

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The factors of 6x²−x−15 are (2x+3) and _____ a. (3x-5) b. (3x+5) c. (5x-3) d. (2x-3)

Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation: