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madreJ [45]
3 years ago
7

The angle elevation from point B to the top of a hill is 59°.  If point B is 450 feet from the base of the hill, how high is the

hill?​

Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0

Answer:

749 ft

Step-by-step explanation:

It's a right-angle triangle so you can use trig ratios

750 feet

tan(59) = opposite/adjacent

tan(59l = X/450

X = 450×tan(59)

X = 748.9 ft

X = 749 ft (correct to 3 sf)

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My solution to the problem is as follows:

EC = 15 ... draw CF = 6 (radius) ...use Pythagorean theorem to find EF. 

EF^2 + CF^2 = EC^2 
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triangle GDE is similar to CFE ... thus proportional 
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5 0
3 years ago
Endent Practice
Vikki [24]

Answer:

Part A: The unit that would be best to describes the situations is to the mile

Part B: 4 significant figures

Part C: 1,450 miles

Part D: He is not correct

Step-by-step explanation:

Part A: By unit conversion, we have;

1 mile = 1,760 yards

Given that the distance from Ottawa, Canada to Jackson Mississippi is 2,552,000 yards it would best simplified into miles

Part B: The number of significant digits in the reporters estimate are the non-zero digits before the zeros in the number figure which are 2, 5, 5, and 2 or 4 significant figures

Part C: 2,552,000 yards = 2,552,000 yards/(1,760 yards/mile) = 1,450 miles

Part D: Given that the distance from Jackson to Tucson = 7,159,680 feet, we have;

1 mile = 5,280 feet

Therefore;

7,159,680 feet = 7,159,680 feet/(5,280 feet/mile) = 1,356 miles

Therefore, the claim that the distance from Jackson to Tucson which is 1,356 miles is further than the distance from Ottawa, Canada to Jackson Mississippi which is 1,450 miles is not correct because;

The distance from Jackson to Tucson 1,356 miles \ngtr 1,450 miles which is the distance from Jackson to Ottawa

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Before Tax Price: $59.98

Sale Tax: 6.00% or $3.60

After Tax Price: $63.58

6 0
3 years ago
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