Answer:
Therefore,
Step-by-step explanation:
Given:
f(x) = - 3x - 2 and
g(x) = - 2x - 4 ,
To Find:
h(x) = g(x) - f(x)= ?
Solution:
We require,
Substituting f(x) and g(x) we get
Therefore,
Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the ang
le from C to A to be 55°. Knowing that the angle between CB and BA was 90°, they used trig to solve for the distance. Show how it was done
1 answer:
Answer:
<h3>AB ≈ 70m</h3>Step-by-step explanation:
Check the attachment for the diagram.
You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;
tan 35° = opposite/adjacent
tan 35° = AB/BC
tan 35° = AB/100
AB = 100tan35°
AB = 100 * 0.7002
AB = 70.02m
Hence the distance across a lake between A and B is approximately 70m
You might be interested in
Answer:
The base of triangle is and the height of triangle is
Step-by-step explanation:
Given:
A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.
Now, to find the base and height of the triangle.
The base of triangle =
The height of triangle =
The area of triangle =
Now, we put the formula of area to solve:
<em>Multiplying both sides by 16 we get:</em>
<em /><em />
<em>Dividing both sides by 3 we get:</em>
<em /><em />
<em>Using square root on both sides we get:</em>
Now, by substituting the value of to get the base and height:
<em>So, the base of triangle = </em><em />
<em>Thus, the height of triangle = </em><em />
Therefore, the base of triangle is and the height of triangle is