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
aliina [53]
2 years ago
10

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

is standing 20 meters from Jack as shown in the diagram, determines that the angle of elevation to the top of the tower is 60°. If Jack's and John's eyes are 1.5 meters from the ground and the distance from Jack's eyes to the top of the tower is 50.64 meters, how far is John from the base of the tower? Round your answer to the nearest tenth.
A.
24.5 meters

B.
16.1 meters

C.
22.2 meters

D.
18.8 meters

Mathematics
1 answer:
zmey [24]2 years ago
8 0

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men  standing to the top of the clock tower.

#Taking the right triangle ACD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5

#Taking the right triangle ABD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5

#We equate the two yo solve for x and y;

(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939

Hence, John's distance from the tower's base is 18.7939 m

You might be interested in
Can someone plsss help me with this one problem plsss I’m trying to get a 90 and also can you explain how you got your answer
Karo-lina-s [1.5K]
From question,
lacy learned 34 recipes in 17 weeks,
so in 1 week she learns = 34/17 =2 recipes,
hence she learns 40 recipes in
= 40*2
=80 recipes.
7 0
3 years ago
A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.
CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

6 + p = 0 ( subtract 6 from both sides )

p = - 6

Substitute p = - 6 into (1)

3(- 6) + q = - 3

- 18 + q = - 3 ( add 18 to both sides )

q = 15

5 0
3 years ago
Plz hurry help!!!!:) What is the length of AD? Round your answer to the nearest hundredth.
jolli1 [7]

Answer:

AD=5.82 units

Step-by-step explanation:

tan 31=3/BD

0.6009=3/BD

BD=5

AD^2=3^2 + 5^2

AD^2=9+25=34

AD=5.82

8 0
2 years ago
Read 2 more answers
The standard diameter of a golf ball is 42.67 mm.
iris [78.8K]

B should be the only correct answer.

6 0
3 years ago
Read 2 more answers
Does anyone know evaluate version
exis [7]

Answer: 6

Step-by-step explanation:

6x6x6 =216

4 0
1 year ago
Other questions:
  • What is 1 to the 2nd power?
    6·2 answers
  • Jack and Jill got tired of falling down that hill with a pail of water and decided to try flying a kite instead. Jack is holding
    14·1 answer
  • Explain how you would graph the line containing a slope of –1/5 that goes through the point (1,–4).
    7·2 answers
  • Can someone help me with this
    10·1 answer
  • The student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretar
    12·1 answer
  • What is 9/12 + 6/7 ?
    7·2 answers
  • A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When cons
    6·1 answer
  • John saves N$ 4225 the first month and every month later decreases it by N$ 65. How much will much John save in the 13th month?
    6·1 answer
  • Can someone help me with this?
    5·1 answer
  • 6) Molly invests $7,747 in a retirement
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!