Maths Trigonometrical Equations and in Equations, Properties of Triangles, Height and Distance NAT Abhiyas Question - Height and Distance Single Correct MCQ
Published on: August 14, 2026

If from the top of a tower 80 meters high the angles of depression of the top and bottom of a house are 30° and 45° respectively, then the height of the house is

A
meters
B
meters
C
meters
D
meters

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Text Solution

Verified by Experts
The correct answer is:
C

meters

Let, OA is tower and BC is house

Given, OA = 80 meters

ACD = 30°

ABO = 45°

Let, BC = h meters

In ABO,

= tan 45° OB = = 80 meters

In ADC,

meters

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