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Nikolay [14]
3 years ago
10

Eli ran 3/4 of a mile. Every 1/8 of a mile, he jumped over a hurdle. There was a final hurdle at the 3/4 mile park. How many hur

dles did Eli jump over?​
Mathematics
1 answer:
agasfer [191]3 years ago
5 0
Divide 3/4 by 1/8 and you should get 6 hurdles.
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One of the tallest buildings in a country is topped by a high antenna. The angle of elevation from the position of a surveyor on
irina1246 [14]

Answer:

a. distance of the surveyor to the base of the building = 2051.90 ft

b. height of the building = 1384 ft

c. Angle of elevation from the surveyor to the top of the antenna = 38.31°

d. Height of antenna  =  237.08 ft

Step-by-step explanation:

​The picture above is a illustration of the described event.

a = the height of the flag

b = the height of the building

c = distance of the surveyor from the base of the building

the angle of elevation from the position of the surveyor on the ground to the top of the building = 34°  

distance from her position to the top of the building  = 2475 ft

distance from her position to the top of the flag  = 2615 ft

​(a) How far away from the base of the building is the surveyor​ located?​

using the SOHCAHTOA principle

cos 34° = c/2475

c =  0.8290375726  × 2475

c = 2051.8679921

c = 2051.90 ft

(b) How tall is the​ building

The height of the building = b

sin 34° = opposite /hypotenuse

0.5591929035 = b/2475

b =  0.5591929035  × 2475

b =  1384.0024361

b =  1384.00 ft

​(c) What is the angle of elevation from the surveyor to the top of the​ antenna?

let the angle = ∅

cos ∅ = adjacent/hypotenuse

cos ∅ = 2051.90/2615

cos ∅ =  0.784665392

∅ = cos-1  0.784665392

∅ =   38.310258303

∅ =  38.31°

​(d) How tall is the​ antenna?

height of the antenna = a

sin 38.31° = opposite/hypotenuse

sin 38.31° = (a + b)/2615

sin 38.31° × 2615 = (a + b)

(a + b) =  0.6199159917  × 2615

(a + b) =  1621.0803182

(a + b) = 1621. 08 ft

Height of antenna = 1621. 08 - 1384.00  =  237.08031822 ft

Height of antenna  =  237.08 ft

8 0
3 years ago
Find the coordinates of the midpoint of a segment with the given endpoints.
Arada [10]
1. x midpoint: (-9+4)/(2) = -2
2. y midpoint: (3+7)/(2) = 5
3. The midpoint is (-2,5)
5 0
3 years ago
Read 2 more answers
HELP ME ASAP PLEASE?!?<br> Find the length of the missing side. Simplify all radicals.
Anuta_ua [19.1K]
The missing side would be 10
7 0
3 years ago
CAN ANYONE SOVE THIS EASY INDIAN MATHS QUESTION...The angle of elevation of a cloud from a point 60m above a lake is 30" and the
guajiro [1.7K]

Answer:

the angle of elevation of a cloud from a point 60m above a lake is 30 and the angle of depression of the reflection of the cloud in the lake is 60 - Mathematics ... the reflection of the cloud in the lake is 60* find the height of the cloud from the surface of the lake

Step-by-step explanation:

Hope this helps

3 0
2 years ago
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Which is the standard form of y-3=2(x-4) <br> (A) Y=-2x-5<br> (B)2x-5<br> (C)2x+y=-5<br> (D)2x-y=5
pantera1 [17]

y -3 = 2(x-4)

Use distributive property on the right side:

y - 3 = 2x -8

Add 3 to both sides:

y = 2x -5

The answer is A.

4 0
2 years ago
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