Homework PracticeSign Up
Back to assignmentPrintable assignment view
Print options

Homework Practice

Printable assignment

Heights and Distances Practice 2: Single-Triangle Problems

Section A: Skill Practice

Question 1mcq
A student gets a tower height of 22 m when the tower is viewed from 10 m away at 60∘60^\circ. What should they notice?
A.Units are not needed
B.The answer is unreasonable because a 60∘60^\circ angle from 10 m suggests height greater than 10 m
C.The answer must be correct because it is positive
D.All height answers must be less than distance
Question 2mcq
A student treats the angle of depression from a cliff to a boat as the angle at the boat below the horizontal. What is the error?
A.The angle of depression is measured from the observer’s horizontal at the top
B.Depression angles are measured from the vertical
C.The boat angle is always 90∘90^\circ
D.Angle of depression cannot equal angle of elevation
Question 3mcq
Which choice best checks the skill: identify angle of elevation?
A.Ignore the horizontal line of sight
B.Use the hypotenuse as height every time
C.Choose a formula before identifying known sides
D.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
Question 4mcq
Which choice best checks the skill: identify angle of depression?
A.Use the hypotenuse as height every time
B.Choose a formula before identifying known sides
C.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
D.Ignore the horizontal line of sight
Question 5mcq
Which choice best checks the skill: draw diagrams from word problems?
A.Choose a formula before identifying known sides
B.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
C.Ignore the horizontal line of sight
D.Use the hypotenuse as height every time

Section B: Application

Question 6mcq
Which choice best checks the skill: choose the correct trigonometric ratio?
A.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
B.Ignore the horizontal line of sight
C.Use the hypotenuse as height every time
D.Choose a formula before identifying known sides
Question 7mcq
From a point 40 m away, the angle of elevation of a pole is 45∘45^\circ. Find the height.
A.4040 m
B.40240\sqrt2 m
C.8080 m
D.4040 m
Question 8mcq
A tower is 1515 m high and the angle of elevation is 30∘30^\circ. Find the horizontal distance.
A.3030 m
B.15315\sqrt3 m
C.15315\sqrt3 m
D.1515 m
Question 9mcq
Which choice best checks the skill: solve problems with two observations?
A.Choose a formula before identifying known sides
B.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
C.Ignore the horizontal line of sight
D.Use the hypotenuse as height every time
Question 10mcq
Which choice best checks the skill: handle same-side observations?
A.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
B.Ignore the horizontal line of sight
C.Use the hypotenuse as height every time
D.Choose a formula before identifying known sides