Answer:
<u>10 ft.</u>
Step-by-step explanation:
<u>Scale</u> ⇒ 1 in. : 2 ft.
- 1 in. : 2ft. = 5 in. : x ft. [x is the width of the real statue]
- 1/2 = 5/x
- x = 5 × 2
- x = <u>10 ft</u>.
<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>

<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)
Answer:
The measure of anle MNP is
Explanation:
The image attached shows the figure corresponding to this question.
The <em>angle MNP</em>, wich is also the angle LNP, is formed by the intersection of a secant and a tanget to a circle.
Then, you can use the theorem:
- the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified witht he letter y. Thus, the measure of the angle MNP is half the differenc x - y:
1) Distribute
2x + 28x + 21
2) Combine like terms
30x + 21
Since there are no more like terms, 30x and 21 cannot be combined. Therefore, the answer is 30x+ 21