All categories

3 years ago

How tall is a building that casts a 71-ft shadow when the angle of elevation of the sun is 29 degrees?

Mathematics

1 answer:

TiliK225 [7]3 years ago

4 0

We can use trigonometry to solve the problem. First draw a picture of the situation to understand what is going on (See the attached photo).

Next, we can use the tangent function to solve for the height of the building:

$tan(29^{\circ})= \frac{h}{71}$

Next, rearrange the problem to solve for h:

$h = 71tan(29^{\circ})$

h = 39.356 ft

You might be interested in

Solve the division problem. Round answer to the nearest hundreth 9.2 divide 52.063

notsponge [240]

9.2/52.063 is equal to 0.18.

7 0

3 years ago

PLEASE HELP I've tried everything 30 points!

Luda [366]

Answer:

(x+2)1x-8)=0

x=-2 or x=8

Step-by-step explanation:

The given quadratic expression is

$2 {x}^{2} - 12x - 32$

We equate this expression to zero to get:

$2 {x}^{2} - 12x - 32 = 0$

Let us divide through by 2 to get:

${x}^{2} - 6x - 16 = 0$

Split the middle term to get:

${x}^{2} - 8x + 2x - 16 = 0$

Factor

${x}(x - 8) + 2(x - 8) = 0$

Factor further to get

$(x - 8)(x + 2) = 0$

The solution are

$x = - 2 \: and \: x = 8$

7 0

3 years ago

Which of the following is NOT a monomial? a. x-4 b. 22xy c. 3 d. -11x

qwelly [4]

Answer is (a)
its a binomial
not a monomial

7 0

3 years ago

Help please! write an expression that shows how to convert kilograms to grams

Irina18 [472]

Kilo is the unit prefix for multiplication by one thousand. Therefore, a kilogram, or kg, is equal to one thousand grams. To convert grams to kilograms, you simply have to multiply the number of kilograms to grams.

So, for example, if you had 16.24kg of a compound, it would equal:

3 0

3 years ago

Read 2 more answers

A cookie factory monitored the number of broken cookies per pack yesterday.

trapecia [35]

Answer:

Confidence Interval - 2.290 < S < 2.965

Step-by-step explanation:

Complete question

A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.

Solution

Given

n=50

x=23.33

s=2.6

Alpha = 1-0.80 = 0.20

X^2(a/2,n-1) = X^2(0.10, 49) = 63.17

sqrt(63.17) = 7.948

X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69

sqrt(37.69) = 6.139

s*sqrt(n-1) = 18.2

$s\sqrt{\frac{n-1}{X^2 _{(n-1), \frac{\alpha }{2} } }$ $\leq \sigma \leq s\sqrt{\frac{n-1}{X^2 _{(n-1), 1-\frac{\alpha }{2} } }$

confidence interval:

(18.2/7.948) < S < (18.2/6.139)

2.290 < S < 2.965

8 0

3 years ago

How tall is a building that casts a 71​-ft shadow when the angle of elevation of the sun is 29 degrees​?

How tall is a building that casts a 71-ft shadow when the angle of elevation of the sun is 29 degrees?