Kuulchat - Senior High School (S.H.S) Mathematics Angle of Elevation & Depression Practice Test Questions

SponsoredAdvertise

Kuulchat Media

Get a professional & affordable website

Kuulchat Media

Get affordable management system for your business

kuulpay.com

Buy B.E.C.E/W.A.S.S.C.E result checker @ kuulpay.com

JobOrt

Join community of hirers and jobbers to easily find taskers or work

ANGLE OF ELEVATION & DEPRESSION

1.

The angle of elevation of the top of a tower from the top of a building, 5 m high is 30°. If on the horizontal ground, the building is 40 m away from the foot of the tower:

(i)

illustrate the information in a diagram.

(ii)

calculate, correct to three significant figures, the height of the tower.

Show Solution

(i)

Let h = the height of the tower.

(ii)

SOHCAHTOA

SOHCAHTOA is a mnemonic that gives us an easy way to remember the three main trigonometric ratios. They are sine (sin), cosine (cos) and tangent (tan).

SOH

sin(θ) = $\frac{Opposite}{Hypothenuse}$

CAH

cos(θ) = $\frac{Adjacent}{Hypothenuse}$

TOA

tan(θ) = $\frac{Opposite}{Adjacent}$

The longest side (side opposite/facing the right-angle) is the hypotenuse

tan 30° = $\frac{y}{40}$

y = 40 x tan 30° = 23.094 m ≈ 23.1 m

h = 5 m + y = 5 m + 23.1 m = 28.1 m

SponsoredAdvertise

Kuulchat Media

Get a professional & affordable website

Kuulchat Media

Get affordable management system for your business

kuulpay.com

Buy B.E.C.E/W.A.S.S.C.E result checker @ kuulpay.com

Kuulchat Media - Host with us

Get affordable, fast & reliable hosting space

SponsoredAdvertise

ANGLE OF ELEVATION & DEPRESSION

SponsoredAdvertise

About Us

Download The Kuulchat App

Our Services

Links

Courses

News

Members

Connect With Us

Payment Options

Contact Us