Last visit was: 28 Apr 2026, 13:13 It is currently 28 Apr 2026, 13:13
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
Events & Promotions
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 28 Apr 2026
Posts: 109,950
Own Kudos:
811,771
 [5]
Given Kudos: 105,927
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,950
Kudos: 811,771
 [5]
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
User avatar
MayankSingh
Joined: 08 Jan 2018
Last visit: 20 Dec 2024
Posts: 289
Own Kudos:
277
 [1]
Given Kudos: 249
Location: India
Concentration: Operations, General Management
GMAT 1: 640 Q48 V27
GMAT 2: 730 Q51 V38
GPA: 3.9
WE:Project Management (Manufacturing)
Products:
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Saasingh
User avatar
Current Student
Joined: 11 Apr 2020
Last visit: 06 Aug 2022
Posts: 386
Own Kudos:
266
 [1]
Given Kudos: 820
Status:Working hard
Location: India
GPA: 3.93
WE:Information Technology (Computer Software)
Products:
Posts: 386
Kudos: 266
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
yashikaaggarwal
User avatar
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,088
Own Kudos:
3,158
 [1]
Given Kudos: 1,510
Location: India
GPA: 4
WE:Analyst (Internet and New Media)
Posts: 3,088
Kudos: 3,158
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Height of lighthouse = 60. = P
Angle of elevation at one side = 45°
The distance between one point to light house= B
Tan 45° = P/B
1 = 60/B
B = 60 ---------(1)

Height of lighthouse = 60. = P
Angle of elevation at other side = 60°
The distance between second point to light house= B
Tan 60° = P/B
√3 = 60/B
B = 60/√3 = 20√3 ---------(1)

Distance between two points = Distance of one point to light house + Distance of second point to light house

=> D = 60+20√3

Answer is A

Posted from my mobile device
User avatar
exc4libur
Joined: 24 Nov 2016
Last visit: 22 Mar 2022
Posts: 1,680
Own Kudos:
1,469
 [3]
Given Kudos: 607
Location: United States
Posts: 1,680
Kudos: 1,469
 [3]
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Quote:
The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?

A. 60+203‾√60+203 m
B. 90 m
C. 45 m
D. 203‾√203 m
E. 30 m

Triangle 45: x,x,x√2=x,60,x√2
Triangle 60: y,y√3,2y=y,60,2y

x=60
y√3=60, =60/√3=60*√3/3=20√3

Distance between: 60+20√3

Ans (A)
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 28 Apr 2026
Posts: 8,633
Own Kudos:
5,191
 [1]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,633
Kudos: 5,191
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
for two sides we get are two ∆ 45:45:90 and 30:60:90
so base of one side is 60 and other side is
60= x√3 ; x = 20√3
total base 60+20√3
OPTION A


The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?

A. 60+203‾√60+203 m

B. 90 m

C. 45 m

D. 203‾√203 m

E. 30 m
User avatar
HoneyLemon
User avatar
Stern School Moderator
Joined: 26 May 2020
Last visit: 02 Oct 2023
Posts: 627
Own Kudos:
571
 [1]
Given Kudos: 219
Status:Spirited
Concentration: General Management, Technology
WE:Analyst (Computer Software)
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Quote:
The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?

A. 60+203√60+203 m

B. 90 m

C. 45 m

D. 203√203 m

E. 30 m


Ans is C , imo.
Please refer to attachment .
Attachments

File comment: Solution -figure
12_june.png
12_june.png [ 52.68 KiB | Viewed 5331 times ]

User avatar
MHIKER
Joined: 14 Jul 2010
Last visit: 24 May 2021
Posts: 939
Own Kudos:
Given Kudos: 690
Status:No dream is too large, no dreamer is too small
Concentration: Accounting
Posts: 939
Kudos: 5,821
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Competition Mode Question



The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?

A. \(60+20\sqrt{3}\) m

B. 90 m

C. 45 m

D. \(20\sqrt{3}\) m

E. 30 m

We need to find out the distance from B to C.

B to D = 60 m [as angle B and angle BAD= 45 degrees]

D to C = \(\frac{60}{\sqrt{3}}\)

Thus, B To C = 60+\(\frac{60}{\sqrt{3}}\)

= 60+\(\frac{60}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}\)

=60+60*\(\frac{\sqrt{3}}{3}\)

=\(60+20\sqrt{3}\)

The answer is A.
Attachments

TRIANGLE.png
TRIANGLE.png [ 7.41 KiB | Viewed 5150 times ]

User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,985
Own Kudos:
Posts: 38,985
Kudos: 1,119
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109950 posts
Tuck School Moderator
852 posts