Solve the equation and check your answer. If the answer is a fraction write it

Mathematics

1 answer:

Dmitry [639]2 years ago

6 0

This is the start of it

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Use a trigonometric ratio to find the distance EF.

leonid [27]

Answer:

The height of the building is approximately <u>73 m</u>.

Step-by-step explanation:

The triangle EFG is shown below.

Given:

Length of shadow of building is, $FG=34\ m$

Angle of inclination of Sun with the vertical is 25°.

Therefore, the angle of inclination of Sun with the horizontal is given as:

$\angle G=90-25=65\°$

Now, in triangle EFG as shown below, we use the tangent ratio to determine the height of building EF. Therefore,

$\tan (\angle G)=\frac{EF}{FG}\\\tan 65\°=\frac{EF}{34}\\EF=34\times \tan 65\°=72.9\ m\approx 73\ m$

Therefore, the height of the building is approximately 73 m.

4 0

2 years ago

Given: m∥n , m∠1=65∘ , m∠2=60∘ , and BD−→− bisects ∠ABC . Prove: m∠6=70∘

Darina [25.2K]

Answer:

Angle Bisector Theorem
Sum of Adjacent Angles
Co-interior angle property
Additive law

Step-by-step explanation:

Note: Diagram for Question is attached

1. Angle Bisector Theorem

BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.

2. Sum of Adjacent Angles

Two adjacent angles can be added together to find the larger angle that is formed by the two angles.

3. Co-interior angle property

Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)

4. Additive law

By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.