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Vinvika [58]
3 years ago
13

A 10 foot ladder is leaning against a tree the bottom of the ladder is 6 ft away from the bottom of the tree proximately how hig

h up the tree does the top of the ladder reach
A: 4 feet

B: 6 feet

C: 8 feet

D: 16 feet

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Looking at the picture it is just a triangle with a hypotenuse of 10 (the ladder) and the bottom side of 6 (distance from the ladder to tree). All you have to do now is the Pythagorean theorem: a^2 + b^2 = c^2

10^2 - 6^2 = b^2

100 - 36 = b^2

64 = B^2 now square root both sides.

Answer is C. 8 feet

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4 0
3 years ago
What is the measure of a base angle of an isosceles triangle if the measure of the vertex tangle is 38 degrees and the two congr
Anit [1.1K]

The measures of the angles of the isosceles triangle are 55, 55 and 70.

Explanation:

An isosceles triangle has two congruent base angles and a vertex angle.

Let b =the measure of one of the base angles.

Let v = the measure of the the vertex angle.

The vertex angle is 40 degrees less than the sum of the base angles.

v = b + b − 40 = 2 b − 40

The sum of the measures of the angles of a triangle is 180.

b + b + v = 180

Substitute 2 b − 40 for v .

b + b + 2 b − 40 = 180

4 b − 40 = 180

+40+40

Combine like terms.

Add 40 to both sides.

4b=220

Divide by 4

4 b/4 = 220 /4

b = 55

v = 2 b − 40

v = 2 ( 55 ) − 40 = 70

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3 years ago
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Answer:


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ANSWER ASAP!!!
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