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3 years ago

1. To calculate the height of a tree,

Mathematics

2 answers:

weqwewe [10]3 years ago

8 0

Answer:

h ≈ 30.10 ft

Step-by-step explanation:

Marie measures the angle of elevation from a point A to a tree as 34° . She works 10 ft directly towards the tree and discovered the new angle of elevation is 41°. The height of the tree can be computed below.

let

a = distance from point B to the tree

h = height of the tree

The right angle triangle formed from point B, we can use tan to find the height of the tree.

tan 41° = opposite /adjacent

tan 41° = h/a

cross multiply

h = a tan 41°

The right angle formed from point A

tan 34° = opposite/adjacent

tan 34° = h/(a + 10)

(a + 10)tan 34° = h

Therefore,

a tan 41° = (a + 10)tan 34°

0.8692867378

a = 0.6745085168(a + 10)

0.8692867378a = 0.6745085168a + 6.7450851684

collect like terms

0.8692867378a - 0.6745085168a = 6.7450851684

0.194778221a = 6.7450851684

a = 6.7450851684/0.194778221

a = 34. 629565532 ft

height of the tree can be find with

h = a tan 41°

h = 34. 629565532 × 0.8692867378

h = 30.103022053 ft

h = 30.10 ft

PilotLPTM [1.2K]3 years ago

4 0

72 I think if not try 41+34=x

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den301095 [7]

Answer:

$52.3m^2$

Step-by-step explanation:

Use these formulas

$A=\pi rl+\pi r^2\\l=\sqrt{r^2+h^2}$

Now solve

$A=\pi r(r+\sqrt{h^2+r^2} )\\=\pi *2*(2\sqrt{6^2+2^2} )\\=52.3m^2$

4 0

3 years ago

Write 169=13^2 in logarithmic form

e-lub [12.9K]

Answer:

$\log_{13}(169)=2$

Step-by-step explanation:

The given exponential form is:

$169=13^2$

The base of the given expression on the right is 13 and the exponent is 2.

The number is 169.

In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.

$\log_{13}(169)=2$

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2 years ago

Subtract 8/9 - 1/3 5/6 5/9 7/9 7/12

Mars2501 [29]

Answer:

3/9

Step-by-step explanation:

Common denominator: 27

24/27 - 9/27 = 15/27 = 3/9

6 0

2 years ago

Derrick is training for a race he wants to run a total of 100 miles over 4 weeks he only runs 16 miles in the first week if he r

Gala2k [10]

Answer:

28 miles

Step-by-step explanation:

Let w stand for the number of miles Derrick runs each week. Then after 4 weeks of training, he wants the total mileage to be 100 miles.

16 + 3w = 100

3w = 84 . . . . . . . subtract 16

w = 28 . . . . . . . . divide by 3

Derrick will run 28 miles each week to achieve his training goal.

7 0

3 years ago

Solve for x. Show your work.

puteri [66]

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I did one of them for you hopefully you can use my work for "a" to help you solve for "b". For a. I got x=7.

6 0

3 years ago