Trigonometry - Jamb Mathematics Past Questions and Answers

Question 31:

• JAMB 1983

A ship H leaves a port P and sails 30 km due south. Then it sails 50km due west. What is the bearing of H from P?

A. 20^o 34'
B. 243^o 26'
C. 116^o 34'
D. 63^o 26'
E. 240^o 56'

Question 32:

• JAMB 1984

If sin \(\theta\) = \(\frac{x}{y}\) and 0^o < 90^o then find \(\frac{1}{tan\theta}\)

A. \(\frac{x}{\sqrt{y^2 - x^2}}\)
B. \(\frac{y}{x}\)
C. \(\frac{\sqrt{y^2 + x^2}}{y^2 - x^2}\)
D. \(\frac{y^2 - x^2}{x}\)

Question 33:

• JAMB 1985

The bearing of a bird on a tree from a hunter on the ground is N72oE. What is the bearing of the hunter from the birds?

A. S 18^o W
B. S 72^o W
C. S 72^o E
D. S 27^o E
E. S 27^o W

Question 34:

• JAMB 1985

Without using table, calculate the value of 1 + sec2 30o

A. 2\(\frac{1}{3}\)
B. \(\frac{2}{15}\)
C. \(\frac{5}{3}\)
D. 3\(\frac{1}{2}\)

Question 35:

• JAMB 1985

Two points X and Y both on latitude 60^oS have longitude147^oE and 153^oW respectively. Find to the nearest kilometer the distance between X and Y measured along the parallel of latitude(Take 2\(\pi\)R = 4 x 10⁴km, where R is the radius of the earth)

A. 16667km
B. 28850km
C. 8333km
D. 2233km