All categories

2 years ago

11.

Mathematics

2 answers:

yKpoI14uk [10]2 years ago

6 0

$\\ \tt\leadsto tan\theta=\dfrac{Perpendicular}{Base}$

$\\ \tt\leadsto tan29=\dfrac{h}{400}$

$\\ \tt\leadsto h=400tan29$

$\\ \tt\leadsto h=221.7ft$

dangina [55]2 years ago

4 0

Answer:

221.7 ft (nearest tenth).

Step-by-step explanation:

The situation can be modeled as a right triangle where the base is the distance between the observer (O) and the building (B), and the height is the distance between the base of the building (B) and the kite (K).

To find the height of the kite, use the tan trigonometric ratio.

Tan trigonometric ratio

$\sf \tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given values:

$\theta$ = 29°
O = h
A = OB = 400 ft

Substitute the given values into the formula and solve for h:

$\implies \sf \tan(29^{\circ})=\dfrac{h}{400}$

$\implies \sf h=400\tan(29^{\circ})$

$\implies \sf h=221.7236206...$

Therefore, the height of the kite flying over the building is 221.7 ft (nearest tenth).

Learn more about angles of elevation here:

brainly.com/question/27933160

brainly.com/question/27938731

You might be interested in

There are 10 questions that need to be answered. PLEASE ANSWER ALL

Ksivusya [100]

Answer:

1) 4

2) 15

3) 13

4) 100

5) 22.5

6) 10

7) 34

8) 33.6

9) 43.7

10) 18

Step-by-step explanation:

(In order)

1 2 4 7 9 10 11 12 16 17 18

19 22 32 34 41 57 66

9.6 18 22.5 33.6 41.2 63 100

12 27 35.4 42.4 45 54 66 88

12.4 14.2 15.5 17.6 18 67 73 111 336

5 0

3 years ago

A line has a slope of 5 and a y-intercept of 0. Which is the equation of the line?

tangare [24]

The answer is B) y= 5x

7 0

3 years ago

Urgent pls What is the image of (-3, 2) after a translation 3 units right and 2 units down?

emmasim [6.3K]

Answer:

3 rows of 3 then 2 roes of 2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Kara is building a sandbox shaped like a kite for her nephew. The top two sides of the sandbox are 29 inches long. The bottom tw

Tresset [83]

The wording is unclear without a diagram. As such, there are two possible cases and two possible answers.

Case 1: Diagonal $\overline{DB}$ is formed by connecting the vertices formed by the meeting points of a 25-inch side and a 29-inch side. 
Call the intersection point of $\overline{DB}$ and $\overline{AC}$ E. $\overline{AC}$ bisects $\overline{DB}$ , so $DE=BE=20\text{ inches}$ . Since the diagonals of a kite are perpendicular to each other, $\triangle AED$ and $\triangle CED$ are both right triangles. One has a hypotenuse of $29$ , and the other has a hypotenuse of $25$ , but both share a leg of $20$ . Using the Pythagorean Theorem, we can get that the length of the other leg in the triangle with a hypotenuse of $29$ is $21$ . Similarly, for the triangle with a hypotenuse of $25$ , the other leg has a length of $15$ . Together, these legs make up $\overline{AC}$ , meaning $AC=21+15=36 \text{ inches}$ , our final answer.

Case 2: Diagonal $\overline{DB}$ is formed by connecting the vertices formed by the meeting points of the sides with equal lengths.
Call the intersection point of $\overline{DB}$ and $\overline{AC}$ E. We will focus on two triangles, namely $\triangle ADE$ and $\triangle ABE$ . Since diagonals intersect perpendicularly, these triangles are right triangles. One of them has a hypotenuse of $29$ , and the other has a hypotenuse of $25$ . They both share a leg that is half of $\overline{AC}$ because $\overline{DB}$ bisects $\overline{AC}$ . Let $AE=y$ and the non-shared leg of the right triangle with a hypotenuse of $29$ equal $x$ . Since $DB=40$ , the non-shared leg of the other right triangle (the one with a hypotenuse of $25$ ) has a length of $40-x$ . Using the Pythagorean Theorem, we can get the equations $x^2+y^2=29^2$ and $(40-x)^2+y^2=25^2$ . These can simplify to $x^2+y^2=841$ and $1600-80x+x^2 + y^2=625$ . Isolating the term $y^2$ , we can get $y^2=841-x^2$ and $y^2=625-x^2+80x-1600$ . The latter can simplify to $y^2=-975-x^2+80x$ . Using substitution, we can combine the two equations into one and get $841-x^2=-975-x^2+80x$ . We can simplify that to $80x=1816$ , meaning $x=22.7$ . However, we are looking for $2y$ ( $y$ is only half of $\overline{AC}$ ). We can solve for $y$ using the Pythagorean Theorem and the triangle with a hypotenuse of $29$ and a leg of $22.7$ . We get $y \approx 18.05$ , meaning $\overline{AC}=2y \approx 36.1 \text{ inches}$ , our final answer.

3 0

4 years ago

Read 2 more answers

Opposites in math definition

noname [10]

Answer:

The opposite of a number is its additive inverse. The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ). a+(−a)=0.

8 0

3 years ago