The tower will be represented by AB and BC is the base of the tower to the point 750 ft. The angle of elevation is α.
the value of α will be given by:
tan α=(AB)/(BC)
AB=1454 ft
BC=750 ft
hence:
tan α=750/1454
tan α=0.5158
thus
α=arctan 0.5158
α=27.2855~27.3°
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Answer: x = 2.65, y = 3.81
Step-by-step explanation:
ABC similar to PQR
1) Find the ratio of corresponding sides
2) Use that ratio to find values for x & y
1) Side AB = 2.76cm & Side PR = <em>y</em><em> </em>cm
Side BC = <em>x</em> cm & Side RQ = 3.66 cm
Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)
Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14
Length of sides ABC = 3/4.14 times the length of sides PQR
2) x = (3 / 4.14) * 3.66 = 2.65
Now solve for y, ABC to PQR: 2.76 = (3 / 4.14) (<em>y </em>)
<em>equality property</em> (both sides) & inverse operation to isolate <em>y : </em> . 2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (<em>y</em><em>)</em>
2.76 * (4.14 / 3) = 3 / 4.14 * (4.14 / 3) (<em>y</em><em>)</em>
(2.76 * 1.38 ) = 3.81 = <em>y</em>
<em></em>
<em>Scale Factor Method: Determine the Multiplier</em>
Small to Big or Big to Small ➜ Be sure not to switch
Answer:
Step-by-step explanation:
no of yellow golf=1/7*28
=28/7
=4
no of white golf=5/7*28
=140/7
=20
no of green golf=total golf-(yellow golf + white golf)
=28-(4+20)
=28-24
=4
therefore he has 4 green balls
Answer:
y = 9
Step-by-step explanation:
To solve this question we will use the property of perpendicular lines,
Where and are the slopes of two lines perpendicular to each other.
Slope of a line passing through two points and is given by,
Slope of a line which passes through the points A(4, 2) and B(-1, y) will be
Slope of the line given in the graph [passing through (2, 4) and (-5, -1)]
From the property of perpendicular lines,
5y - 10 = 35
5y = 45
y = 9