1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frez [133]
3 years ago
15

The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are

found to be complementary. find the height of the tower.​
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

Answer:

132 m

Step-by-step explanation:

Refer to attachment for figure.

In smaller triangle with angle theta , we have ,

⇒ tanθ = p/b

⇒ tanθ = h/121m

⇒ tanθ = h/121 m

<u>In</u><u> </u><u>triangle</u><u> </u><u>with</u><u> </u><u>angle </u><u>9</u><u>0</u><u>-</u><u>∅</u>

⇒ tan(90-θ) = p/b

⇒ cot θ = h/144 m

Multiplying these two ,

=> tanθ . cotθ = h/121 m × h/144m

=> 1 = h²/ (121 m × 144m )

=> h² = 121m × 144m

=> h= √ ( 121m × 144m)

=> h = 11m × 12m

=> h = 132 m

You might be interested in
Find the length of side xz give your answers to 3 significant figures
aleksandrvk [35]

Answer:

XZ ≈ 14.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = \frac{adjacent}{hypotenuse} = \frac{ZY}{XZ} = \frac{12.6}{XZ}

Multiply both sides by XZ

XZ × cos29° = 12.6 ( divide both sides by cos29° )

XZ = \frac{12.6}{cos29} ≈ 14. 4 ( to 3 sig. figs )

3 0
3 years ago
How many triangles can be constructed with three angies, each measuring 63
andre [41]

Answer:

Three angles all equal is one equal triangle I pretty sure of this

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Someone can help me ASAPP??
bulgar [2K]

Answer: 23

Step-by-step explanation:

4 0
3 years ago
Bob is doing a quality test on machine bots , he tested 24 bolts that he randomly found that 5 were defective. Based on bob’s re
goldenfox [79]

Answer:

175

Step-by-step explanation:

5/24 = 0.208 percentage of defective bolts

scale up to 840 bolts by finding 20.8% of defective bolts

840*20.8 = 175

5 0
2 years ago
The South Company cash account had a balance of $1,202.50 on January 31. A deposit, made on the 31st, in the amount of $100.05 w
labwork [276]

Answer:

$1326

Step-by-step explanation:

Follow the format of the reconciliation statement

The adjusted cash balances should match

Cash balance as per the bank statement, January 31        1421.95

Add: Deposit in transit                                                           100.05

Deduct: Outstanding checks                                                  <u>(196)</u>

Adjusted cash balance                                                            <u>1326</u>

Balance as per depositor's record, January 31                    1202.5

Subtract: NSF check                                                                  (18)

Subtract: Service charges                                                         (8.5)

Add: receivable collected                                                          <u>150</u>

Adjusted cash balance                                                              <u>1326</u>

The reconciled amount is $1326.

!!

8 0
3 years ago
Other questions:
  • Please, help me with question number 9, I am so confused.
    5·1 answer
  • Rashid can paint 2 square feet in 10 minutes. Fill in the missing parts to tell how long it will take h to paint a fence that is
    9·1 answer
  • Use the Divergence Theorem to compute the net outward flux of the vector field
    9·1 answer
  • If Ben eats 2/5 of a packet of crisps everyday. how much will he eat in 30 days?
    13·2 answers
  • Julio walks 3 ½ miles in 1 ¼ hours.
    14·1 answer
  • Imagine that the rectangle is rotated counterclockwise
    12·2 answers
  • Given h(x) = -2x - 4, find h(-2).
    6·2 answers
  • Someone Please help 2!!!!
    6·1 answer
  • Solve for X. 4.5/x = 3/4
    8·1 answer
  • Which composition of similarity transformations maps polygon ABCD to polygon A’B’C’D’
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!