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
marishachu [46]
3 years ago
8

From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the

boat, how high is the cliff (to the nearest foot)
Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0

Answer:

328 feet

Step-by-step explanation:

From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)

Step 1

Note that

that 11°50' is just 11 degrees and 50 minutes

60 minutes = 1 degree,

thus 50 minutes = x degree

50/60 degrees

= 0.83°

Hence: 11°50' = 11.83°.

Step 2

We solve using Trigonometric function of tan

tan theta = Opposite/Adjacent

theta = 11.83°

Adjacent = 1568 feet

Opposite = Height of the cliff = x

tan 11.83° = x/1568

Cross Multiply

x = tan 11.83 × 1568

x = 328.429195 feet

Approximately = 328 feet

The height of the cliff is 328 feet

You might be interested in
A sign company is creating a pennant in thr shape of an equilateral triangle. The length of each side is 12 inches. What is the
stich3 [128]

Answer:24 in

Step-by-step explanation:

3 0
3 years ago
45,358 how many times greater is the 5 in the thousands place, than the 5 I. The tens place
Sergeu [11.5K]
100 times every spot to the left is times 10
6 0
3 years ago
I need help with two questions, and an explanation on how to do them please
Lilit [14]

$39 multiply that by 1/3  OR  39 divide that by 3 . That will get 13 .

39 multiply that by 1/3 OR 39 divide that by 4 . You will get 9.75

Add 13 and 9.75  

13+9.75=22.75

Now you subtract 39 - 22.75

You will get 16.25

6 0
3 years ago
please help I need someone to do an example of what the inequality shown is and then I will do the rest myself.​
Aleks04 [339]

Answer:

x \geq 1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A falcon flying at a height of 200 yards spots a sparrow flying at a height of 150 yards. The location of the sparrow makes an a
juin [17]
Answer: The distance between the birds is about 77.78 yards.

This is a trigonometry problems, so it helps to draw a right triangle between the birds. The length between them is the hypotenuse and we have a angle of 40 degrees by the sparrow. The side opposite the sparrow is the difference in heights of the birds, 50 yards.

Therefore, we can write and solve the following sine relationship.

sin(40) =  50/x
0.6428 = 50/x
x = 77.78 <span />
8 0
3 years ago
Read 2 more answers
Other questions:
  • 8.27 as a mixed number
    14·2 answers
  • If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?
    8·1 answer
  • 160% of 30 what is the number???
    9·2 answers
  • What scale factor is shown in the graph?
    11·2 answers
  • Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count. Imari
    10·2 answers
  • CAN SOMEONE help me 20 points!!!!
    8·2 answers
  • there are 8 theaters at the mall each of the 7 theaters have 175 seats the mall's theaters have 1550 seats in all how many seats
    9·1 answer
  • Write 178/48<br> as a percent.
    7·2 answers
  • A. 16.0<br> b. 25.0<br> c. 9.0<br> d. 17.3
    9·1 answer
  • The human eye contains approximately 9.1 x 10^7 rod cells and 4.5 x 10^6 cone cells . Samuel subtracts 9.1-4.5 and says there ar
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!