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Delicious77 [7]
3 years ago
9

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

is standing 20 meters from Jack as shown in the diagram, determines that the angle of elevation to the top of the tower is 60°. If Jack’s and John’s eyes are 1.5 meters from the ground and the distance from Jack's eyes to the top of the tower is 50.64 feet, how far is John from the base of the tower? Round your answer to the nearest tenth. 24.5 meters 16.1 meters 22.2 meters 18.8 meters
Mathematics
2 answers:
katovenus [111]3 years ago
6 0
Use the triangle with angle of elevation 40°

cos(40°) = adjacent leg / hypotenuse = (20 + x) / 50.64

=> 20 + x = 50.64 * cos (40°)

x = 50.64 cos(40°) - 20 = 38.79 m - 20m = 18.79 m ≈ 18.8 m

Answer: 18.8 m
alekssr [168]3 years ago
3 0

Answer:

18.8 meters

Step-by-step explanation:

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Yuliya22 [10]

Answer:

7x\geq 15

Step-by-step explanation:

This problem lays out pretty clearly what needs to be done.

First, we know that we are writing an inequality.

Then, it tells us that we need 'the product of x and 7'. A product is the result of multiplication, so we can multiply 7 and x together to get 7x.

Next, it tells us that the product (7x) is at least 15. At least means that the product has to greater than or equal to 15. That clue tells us which inequality symbol will be used.  

Put it all together and:

7x\geq 15

Hope this helped!

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Answer:

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Step-by-step explanation:

Given that the rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental.

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Hence final answer is y = 20x + 40y = 20x + 40.

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