Trigo - angle of elevation and depression

Question 1

What is the angle of elevation corrrect to 1 decimal place?

Answer 1

angle = tan^-1 (10/10)

= 45.0º

Question 2

What is the height of the tree correct to 3 significant figues?

Answer 2

tan 39 = ht/50

ht = 50 * tan 39

= 40.5 m

Question 3

What is the height of the wall correct to 3 significant figues?

Answer 3

sin 20 = ht/8

ht = 8 * sin 20

= 2.74 m

Question 4

What is the angle of elevation corrrect to 1 decimal place?

Answer 4

angle = sin^-1 (40/50)

= 53.1º

Question 5

What is the angle of depression corrrect to 1 decimal place?

Answer 5

angle = tan^-1 (35/40)

= 41.2º

Question 6

How far is the eagle from the rabbit correct to 3 significant figues?

Answer 6

sin 50 = 250/dist

dist = 250/sin 50

= 326 m

Question 7

How far is the treasure from the foot of the cliff correct to 3 significant figues?

Answer 7

tan 44 = 44/dist

dist = 44/tan 44

= 45.6 m

Question 8

What is the horizontal distance of the plane to C correct to 3 significant figues?

Answer 8

tan 10 = 10/dist

dist = 10/tan 10

= 56.7 m