Question

2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?

204

likes
1021 views

Answer to a math question 2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?

Expert avatar
Dexter
4.7
42 Answers
STEP BY STEP SOLUTION: Let's denote: - h as the height of the piscucha above the ground at a given moment, - d as the distance between Juan's hand and the point directly below the piscucha (which is 58 meters since he has released 58 meters of the thread), - a as the angle of elevation (50° in this case). The relationship between the height h, the distance d, and the angle of elevation a can be represented by the sin function: \[ \sin(a) = \frac{h}{d} \] In this scenario: \[ \sin(50°) = \frac{h}{58 \, \text{m}} \] Now, solve for h: \[ h = 58 \, \text{m} \times \sin(50°) \] Using a calculator: \[ h = 44.43 \, \text{meters} \] ANSWER: Therefore, at the moment Juan has released 58 meters of the thread, the piscucha is \( 44.43 \, \text{meters} + 1.68 \, \text{meters} = 46.11 \, \text{meters} \) above the ground.

Frequently asked questions (FAQs)
What is the perimeter of a rectangle with length 10 units and width 5 units?
+
Question: Using the SOH CAH TOA rule, find the length of the adjacent side if the hypotenuse is 10 units and the angle is 30 degrees.
+
Math Question: The equation of a line is y = 3x + 2. Graph this equation and find the slope-intercept form.
+
New questions in Mathematics
Let f(x)=||x|−6|+|15−|x|| . Then f(6)+f(15) is equal to:
Solution of the equation y'' - y' -6y = 0
CASE 6-1: PREPARE A PRODUCTION PLAN: WHAT PROBLEMS ARRIVE? Midwest Plastics Company has conducted profit planning for several years. The president stated (with justification) that inventory control and planning had not been satisfactory, which was mainly due to poor planning of production and inventory budgets. Please analyze and provide recommendations, in detail, on the issue regarding the 20B profit plan, which is now being prepared. Their analysis and recommendations will be presented to the executive committee. Despite the seasonality factor, the sales department has been successful in developing a sales plan, on a monthly basis, for each year. The following sales data is available for 20B. 1. Sales plan summary for 20B: 2. Finished goods inventory, as of January 1, 20B, is 96,000 units. 3. Work-in-process inventory will remain constant. 4. Actual annual sales in 20A, including the estimate for December, were 350,000 units. 5. The average finished goods inventory during 20A was 70,000 units. IT IS REQUESTED. 1. Prepare the annual production budget, assuming that management policy is to budget ending finished goods inventory at a standard quantity, based on the ratio of historical sales of 20A to inventory turnover. 2. Prepare a schedule showing sales, production, and inventory levels for each month, assuming: 1) stable inventory, 2) stable production, and 3) recommended inventory-production levels. In developing your recommendations, assume that the following policies have been established: a) The president has set the policy that a maximum inventory of 85,000 units and a minimum inventory of 75,000 units should be used, except in abnormal circumstances. b) A stable level of production is definitely preferred, except that during the holiday season in July and August, production may be reduced by 25 percent. Likewise, a variation in production of 7.5 percent above and below the average level is acceptable. 3. What are the main problems faced by the company in production planning? Make your general recommendations.
132133333-33
The mean temperature for july in H-town 73 degrees fahrenheit. Assuming that the distribution of temperature is normal what would the standart deviation have to be if 5% of the days in july have a temperature of at least 87 degrees?
Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]
A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.
Serum cholesterol levels in men aged 18 to 24 years have a normal distribution with a mean 178.1mg/100 ml and standard deviation 40.7 mg/100 ml. The. Randomly choosing a man between 18 and 24 years old, determine the probability of your serum cholesterol level is less than 200. B. Whether a serum cholesterol level should be judged too high if it is above 7% higher, determine the value of the separation level of levels that are too high. w. Determine a 90% reference range for serum cholesterol level among men from 18 to 24 years old.
Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
Pablo has a balance of $440,000 and 2/5 of the money is used to pay bills. How much money do you have left after paying the bills?
Given the word WEIRD, determine a four-letter offspring that can be formed with the letters of the word written above
P 13. Let P a point inside of a square ABCD. Show that the perpendicular lines drawn from A, B, C, respectively D, to BP, CP, DP, respectively AP are concurrent. Use geometric rotation.
An election ballot asks voters to select three city judges from a group of 12 candidates. How many ways can this be done?
8(x+4) -4=4x-1
t+72/t=-17
f(r) = 1/r+9 find f(x^2) + 1
The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?
Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.