Solve 5(x/2+3)=35 what is the answer
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
In this problem, we have:
H = 452 m is the height of the Petronas tower
h = 1.75 m is the height of the woman
d = 120 m is the distance between the woman and the base of the tower
First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so
Now we notice that and
are the two sides of a right triangle, in which the angle of elevation is
. Therefore, we can write the following relationship:
since
H' represents the side of the triangle opposite to
d represents the side of the triangle adjacent to
Solving the equation for , we find the angle of elevation:
Answer:
Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit
Firstly, find the angles B
Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree
∴m∠A+ m∠B+m∠C=180 ......[1]
Substitute the values of m∠A=60° and m∠C=45° in [1]
Simplify:
Now, find the sides of BC
For this, we can use law of sines,
Law of sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles.
Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.
then,
unit
Similarly for AC:
Substitute the values of ∠B=75°, ∠C=45°,and AB=8 unit to find AC.
then,
unit
To find the perimeter of triangle ABC;
Perimeter = Sum of the sides of a triangle
i,e
Perimeter of △ABC = AB+BC+AC = 8 +9.798+10.9283 = 28.726 unit.
To find the area(A) of triangle ABC ;
Use the formula:
Substitute the values in above formula to get area;
Simplify:
Area of triangle ABC = 37.856 (approx) square unit