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bezimeni [28]
3 years ago
11

4. Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle

of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground.
 
Find the ground distance from Charlie to the plane. Show how you know.


Mathematics
1 answer:
Fofino [41]3 years ago
3 0

check the picture below.


make sure your calculator is in Degree mode.

now, Charlie's eyes are 5.2' from the ground, however the distance from his eyes over the horizontal and the ground over the horizontal, is the same, so taking the tan(32°) at his eyes level will give that horizontal distance.

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A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle
Natali [406]

Answer:

\sqrt{514} cm, 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm

But if 17cm is the longest side then:

a^2+15^2=17^2\\8^2+15^2=17^2\\a=8cm

Hope this helps!

4 0
3 years ago
Read 2 more answers
Someone help me with this please
dangina [55]

Answer:

4 number

Step-by-step explanation:

16p+32q=1,280

3 0
2 years ago
Would appreciate the help
raketka [301]

Answer:

x° = 37°

Step-by-step explanation:

* Lets revise some facts of a circle

- The secant is a line intersect the circle in two points

- If two secants intersect each other in a point outside the circle,

 then the measure of the angle between them is half the difference

 of the measures of their intercepted arcs

* Now lets solve the problem

- There is a circle

- Two secants of this circle intersect each other in a point outside

  the circle

∴ The measure of the angle between them = 1/2 the difference of the

  measures of their intercepted arcs

∵ The measure of the angle between them is x°

∵ The measures of their intercepted arcs are 26° and 100°

- Use the rule above to find x

∴ x° = 1/2 [ measure of the large arc - measure of small arc]

∵ The measure of the large arc is 100°

∵ The measure of the small arc is 26°

∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°

∴ x° = 37°

4 0
3 years ago
Eduardo spent half of his weekly allowance on clothes. To earn more money his parents let him weed the garden for $8. What is hi
lbvjy [14]

Answer: his weekly allowance is $8

The model to solve the problem is

X/2+8=12

Step-by-step explanation:

To get Eduardo's weekly allowance

Say it is x

Now he spent half of x on clothes and earns extra $8 more to end up with $12

Therefore

x/2+8=12

x/2=12-8

x/2=4

x=8

7 0
3 years ago
Read 2 more answers
Please Help Me. I will mark as Brainlest
Tanya [424]

Answer:

275 ft³

Step-by-step explanation:

Given the ratio of radii of 2 similar figures = a : b , then

ratio of volumes = a³ : b³

Here the ratio of radii = 5 : 2 , so

ratio of volumes = 5³ : 2³ = 125 : 8

Calculate the volume (V) of A using proportion

\frac{125}{V} = \frac{8}{88} = \frac{1}{11} ( cross- multiply )

V = 275 ft³

That is the volume of figure A = 275 ft³

4 0
2 years ago
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