An 85-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top of the tree house? Round your answer to the nearest tenth of a foot.

Answers

Answer 1

Answer: For this case we can model the problem as a rectangle triangle.
We have the hypotenuse and the angle.
We want to find the height.
For this, we use the following trigonometric relationship:
sine (x) = C.O / h
Where,
x: angle
C.O: opposite leg
h: hypotenuse
Clearing C.O we have:
C.O = 85 * sine (45)
C.O = 60.1040764
Round to the nearest tenth of a foot:
C.O = 60 feet
Answer:
the top of the tree house is 60 feet high

Answer 2

Answer:

Answer:

sin 45=x/85

85 sin 45=x

x=60.104

nearest 10th is 60.1 ft

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How many feet per hour is 200cm per minute ?

Answers

Answer:

393.7 feet per hr

Step-by-step explanation:

200cm per min

12000cm per hr

cm to feet. divide by 30.48

393.7 ft per hr

the answer is 393 feet per hour

Question is in the picture

SAS

SSA

SSS

not congruent

Answers

SSS is the answer because the parallel sides are congruent and the line that divides the shape is reflexive and makes it congruent to itself...

QU =AD

QD=AU

DU is a common side of the triangles QUD and ADU,

so all three sides of these triangles are congruent, so we need postulate SSS.

Answer is SSS.

I need help figuring out how to do this.

Answers

SURFACE AREA:i was literally just working on surface area so (15×6=90)×2=180 and then (2.26×15=33.9)×2=67.8 and then (2.26×6=13.56)×2=27.12 and add all of them together to get 274.92

What numbers add to 8 and multiply to 11

Answers

There is no answer to your question. I will prove so.

the only factor pair of 11 is:

11&1

But, while these two number have a product of 11, they do not have a sum of 8

11+1=12
11+1≠8

in a triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 92 degrees more than the measure of the second angle. what is the measure of the first angle?

Answers

You need an equation. x is the unknown angle or the second angle. Keep in mind that interior angles of a triangle add up to 180.

First Angle: 2x
Second Angle: x
Third Angle: x+92

2x + x + x + 92 = 180
4x + 92 = 180
-92 -92
4x = 88
/4 /4
x = 22

First Angle: 2x = 2(22) = 44
Second Angle: x = 22
Third Angle: x+92

The answer is 44 degrees.

A bird is flying 100 feet off the ground. Looking down at a 45° angle, it sees a mouse standing still. Approximately how far will the bird have to fly to catch the mouse?

Answers

The situation is describe on picture.
We can use relations in two 45-degree angles triangle.
In this example a=100 feet and the distance which bird have to fly to catch the bird is a* \sqrt{2} [/tex] so substituting our data we have: 100* \sqrt{2} [/tex]
So the distance is about 141,4213562 feet.

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