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3 years ago

the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

Answer:

10√3m

Step-by-step explanation:

Given :-

Angle of elevation = 60°
Distance between man and pole = 60°

We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,

=> tan 60° = p/b

=> √3 = h / 10 m

=> h = 10 m× √3

=> h = 10√3 m

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Hey there! I would like some help please :) Thanks!

Alchen [17]

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3 0

3 years ago

Assume the heights in a female population are normally distributed with mean 65.7 inches and standard deviation 3.2 inches. Then

siniylev [52]

Answer:

0.620

Step-by-step explanation:

We know that 1 feet = 12 inches, so, 5 feet is equivalent to 60 inches. Then, we are looking for the probability that a typical female from this population is between 60 inches and 67 inches. We know that

$\mu$ = 65.7 inches and

$\sigma$ = 3.2 inches

and the normal density function for this mean and standard deviation is

$\frac{1}{\sqrt{2\pi } 3.2}exp[-\frac{(x-65.7)^{2}}{2(3.2)^{2}} ]$

The probability we are looking for is given by

$\int\limits^{67}_{60} {\frac{1}{\sqrt{2\pi } 3.2}exp[-\frac{(x-65.7)^{2}}{2(3.2)^{2}} ] } \, dx =0.620$

You can use a computer to calculate this integral. You can use the following instruction in the R statistical programming language

pnorm(67, 65.7, 3.2)-pnorm(60, 65.7, 3.2)

7 0

3 years ago

yael used to have a square garage with 292ft^2 of floor space.she recently built an addition to it. The garage is still a squar

Arturiano [62]

Answer: 19

If the floor space of the garage is increased by 50%, that means its area is increased by that amount

So we have 228 + .50(228) = 228 + 114 = 342 ft²

Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:

x² = 228

x = 15.1 ft

Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:

(y + 15)² = 342

y² + 30y + 225 = 342

y² + 30y - 117 = 0

This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage

8 0

3 years ago

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough order

Nesterboy [21]

T equals 35 cookie dough orders. You can solve this by subtracting 40 from 75. 75 - 40 = 35.

6 0

3 years ago

if the credit price of 5 copies of a book is equal to the cash prize of six copies of the same book what is the rate of discount

Dimas [21]

Answer:

16.67%

Step-by-step explanation: