8. B. In the figure above AD is perpendicular to BC, AD = DB. AC = 4cm and angle CAD = 30°. Find AB. 1A (ithout ucing a calculator write down (i) Cos 60° (ii) Sin 60° (iii) Tan 45° 4 cm 30°

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Help me with number 8 The one with a triangle
(1)
Cos 120 (1) Sin 250° (i) Tan - 400° (iv) Cos- 20
Given that tan 0=
and that 0 lies between 0° and 180° , find without using
tables or a calculator, the value of Sin 0- Cos 0.
5. From the top of a vertical building 20 m tall, the angle of depression of a mark on a
horizontal ground is 18°. Find the distance of the mark from the base of the building.
6. Amos who is 1.5m tall first measures the angle of elevation of the top of a 35m
vertical building as 5°while standing at point A. He them walks towards the building
in a straight line to another point B and measures the angle of elevation of the top
of the building as 10°. Calculate the distance between A and B.
7. ABC is a triangle in which AB = 6.5 cm , AC = 4.2 cm and angle BAC = 54°.
Find (i) length of BC (ii) the area of the triangle.
8.
D
In the figure above AD is perpendicular to BC, AD = DB. AC = 4cm and angle CAD =
30°. Find AB.
9. Without using a calculator write down (i) Cos 60° (ii) Sin 60°
(i) Sin 70° = Cos
(iii) Tan 45°
10. Fill in the missing angle
%3D
(ii) Cos 50° = Sin
4 cm
30°
Transcribed Image Text:(1) Cos 120 (1) Sin 250° (i) Tan - 400° (iv) Cos- 20 Given that tan 0= and that 0 lies between 0° and 180° , find without using tables or a calculator, the value of Sin 0- Cos 0. 5. From the top of a vertical building 20 m tall, the angle of depression of a mark on a horizontal ground is 18°. Find the distance of the mark from the base of the building. 6. Amos who is 1.5m tall first measures the angle of elevation of the top of a 35m vertical building as 5°while standing at point A. He them walks towards the building in a straight line to another point B and measures the angle of elevation of the top of the building as 10°. Calculate the distance between A and B. 7. ABC is a triangle in which AB = 6.5 cm , AC = 4.2 cm and angle BAC = 54°. Find (i) length of BC (ii) the area of the triangle. 8. D In the figure above AD is perpendicular to BC, AD = DB. AC = 4cm and angle CAD = 30°. Find AB. 9. Without using a calculator write down (i) Cos 60° (ii) Sin 60° (i) Sin 70° = Cos (iii) Tan 45° 10. Fill in the missing angle %3D (ii) Cos 50° = Sin 4 cm 30°
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