An observer 1.6 m tall is 203 away from a tower. The angle of elevation from hi

Question

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

Options:

A . 21.6 m

B . 23.2 m

C . 24.72 m

D . None of these

Answer: Option A

Let AB be the observer and CD be the tower

\(Draw BE\bot CD.\)

Then, CE = AB = 1.6 m,

BE = AC = 203 m.

\(\frac{DE}{BE}=\tan30^{0}=\frac{1}{3}\)

\(\Rightarrow DE = \frac{203}{3}m=20m.\)

Therefore CD = CE + DE = (1.6 + 20) m = 21.6 m.

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the dista....of point P from the foot of the tower is:

Question 2. The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:....

Question 3. When the length of the shadow of a pole is equal to a height of the pole, then the elevation of source of light is....the pole, then the elevation of source of light is

Question 4. The angle of elevation of the sun, if the length of the shadow of a tower is √3 times the h....a tower is √3 times the height of the towre is

Question 5. The top of two poles of height 20 m and 14 m are cnected by a wire . if the wire makes an angle of 300 with horizontal ,....with horizontal , then the length of the wire is

Question 6. A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground w....the building is h, which of the following is true?

Question 7. From the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30° and 60° respective....and 60° respectively. What is the height of the pole?

Question 8. A poster is on top of a building. Rajesh is standing on the ground at a distance of 50 m from the building. The angles o....and 30° respectively. What is the height of the poster?

Question 9. Angles of elevation of pole are 60° and 45° from points at distances m and n on ground respectively. Here m, when meas....less than n. What is the height of the pole?

Question 10. A tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to i....angle of 30°. What is the length of the tree?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0