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
anyanavicka [17]
3 years ago
12

An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground t

o be 4 degrees. What is the distance from the base of the cliff to the point on the ground? Round to the nearest foot.
Mathematics
1 answer:
Over [174]3 years ago
5 0

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

\angle ACB=4^{\circ}  (Alternate interior angles)

For any angle \theta, \tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put AB=532\,,\,\angle C=4^{\circ}

\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet

Distance from the base of the cliff to the point on the ground = 7608 feet

Download pptx
You might be interested in
What is the length of segment AB?
allochka39001 [22]
The answer to this question is 8
4 0
3 years ago
Read 2 more answers
Which side of AXYZ is the longest?
Jlenok [28]

Answer:

B

Step-by-step explanation:

the longest side of a triangle is opposite the largest angle.

∠ Y = 180° - 60° - 43° = 180° - 103° = 77°

then ∠ Y is the largest angle in the triangle , so

side opposite ∠ Y is the longest , that is XZ

3 0
2 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28
V125BC [204]

Answer:

Y= x-7

Step-by-step explanation:

5 0
2 years ago
6n=0.12 what is the answer and i need it fast
uranmaximum [27]
6n=0.12
n=0.12:6
n=0.02
Answer: n=0.02

4 0
3 years ago
749÷7 using partial quotients
Svetach [21]
107........,...............
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the smallest number 13, 0.13, 1.03, 0.103, 1.3
    7·2 answers
  • A recipe calls for 2 1/2 cups of flour to make 2 dozen cookies. how many cups of flour would be required to bake 15 dozen cookie
    8·1 answer
  • fiona has a box of chocolates the box contains 60 chocolates she eats 1/5 of the chocolates she gives 32 chocolates away what is
    10·1 answer
  • Can someone please help me with this?
    14·2 answers
  • Use the graph to determine which statement describes f(x)
    5·1 answer
  • (4,-10); m=-3 I need help in this problem
    5·1 answer
  • The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The le
    15·2 answers
  • What is 13/25 in decimal form​
    14·1 answer
  • PLEASE HELP MEEE AM BEING TIMED
    14·1 answer
  • Algebra:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!